Alucard's powers and abilities
Alucard demonstrates, in various incarnations of the series, an astonishing and overwhelming range of supernatural attributes; these include, but are probably not limited to:
Superhuman Strength
As a true vampire, Alucard is inherently strong. To start, his guns Jackal and Casull are far too unwieldy for a human to hold, let alone use, but he does both with ease. He has been seen going up barehanded against even some supernatural weapons and destroying them, such as Tubalcain's magic cards. Despite their armor, Alucard was able to disembowel and tear apart several police officers with one hand. The extent of his strength is unknown, though it appears to vary with the release state that he is in, as his black, jumpsuit clad form has significantly greater feats of strength and durability than his other forms.
Superhuman Speed and Reflexes
Alucard is too fast for the human eye to follow, but other vampires such as Walter and Tubalcain Alhambra can keep pace with him just fine. Alexander Anderson, a regenerator, can also do this, near-matching him step for step and blow for blow in a fight. Alucard's reaction times are top-notch, letting him catch Rip Van WIinkle's bullets with his teeth, despite a single one of these bullets penetrating an SR-71 blackbird multiple times while the plane was moving as fast as possible.
Superhuman Endurance
Alucard takes most damage without flinching or making a sound, quietly allowing the enemy to attack before retaliating tenfold. He can even attack after being torn asunder by bullets. After Rip Van Winkle crashes his Blackbird, he exits the craft without a scratch and easily destroys everyone aboard, even as they use high caliber weaponry on him. He's been thrown through skyscrapers, bled excessively, and even Walter knows of no certain way to defeat him other than killing him again and again until he stays down.
Superhuman Durability
Alucard appears to have the ability to harden the surface of his body to the point where, in a direct clash with one of Tubalcain Alhambra's playing cards, he was able to shred it apart without any difficulty despite the cards having been demonstrated to be able to cut a depleted uranium cannon shell in half.
Regeneration
Alucard has the ability to perfectly and quickly recover from any physical injury. He has been torn to shreds by conventional weaponry and holy weaponry designed to kill his kind and has survived all of it. Holy weapons, while they do affect him more, are regenerated all the same if not as quickly.
Extrasensory Perception
Alucard has senses that are not only sharper than a mortal's, affording him abilities such as perfect accuracy, but he has abilities that they completely lack. In particular, he possesses a 'third-eye' which allows him to see things from far, far distances. Though he never uses it to do so, he can likely see through things that fool human eyes, as Seras does when facing Zorin Blitz. This is not an inherent ability and must be used consciously, as Alucard was unable to see through Tubalcain's illusionary clones. Similarly, Seras was unable to see through Zorin's illusions until told outright that's what they were.
Dark Composition
Though he generally dons a corporeal, humanoid form, Alucard is made up of a highly variable otherworldly substance that is black in core and reddish on its edges. This can be especially seen whenever he takes heavy damage, the darkness being immune to conventional weaponry. Along with composing his being, it can serve as a weapon. Alucard is able to transform this material into virtually anything he chooses, like a puddle of goo.
Intangibility
Alucard has the ability to walk through solid objects, such as walls.
Immortality
It is unclear if Alucard is a true immortal, but he is at least biologically immortal, immune to disease and aging. Alucard has suffered all manner of injury to the most extreme degrees, only to reform himself. This seems to indicate structural immortality as well, but the vampire himself asserts that there is no such thing as a true immortal. This means his immortality is only biological, and there is a way to kill him. Anderson's talk of him being "alone" and his duel with Walter implies that after his seals are removed, his heart is vulnerable to being impaled if not other forms of destruction, which would in turn destroy him for good. After absorbing Schrödinger, his immortality may have been augmented, but if so, it is not known how.
Hematophagy
As a vampire, Alucard has the ability to consume blood raw. He has long, conical fangs to assist in this job as well as a serpentine-like tongue. His feeding habits have been seen to vary: from the traditional neck-biting to simply ripping people to pieces and outright devouring them. Alucard doesn't seem to need blood to survive, however, if starved of it, he will enter an inactive death-like state.
Aestivation: Alucard will enter a dormant state if he goes too long without blood. It is unknown if he can be starved to death, as he goes decades without a drop of blood before a young Integra finds him. It is never made clear if this is unique to him or if all vampires can do this.
Hemokinesis
Alucard has the ability to manipulate blood. This ability seems to be limited to blood outside of the body, as he is never seen influencing the blood of enemies while they are intact.
Soul Absorption
By draining a person of their blood, Alucard gains dominance over their souls and very forms. He also takes on whatever knowledge they possess, as he was able to find out about Millennium by draining Tubalcain Alhambra of his blood.
Familiar Control
Alucard can summon forth anyone he's taking the soul of at will. He has an entire legion dwelling within him but seems to favor using Baskerville, the Black Dog. Whoever he absorbs, their powers are at his disposal. While Seras gives her familiar, Pip Bernadotte, some free reign within her own soul, Alucard seems content to completely dominate everything living inside him. It is unclear if this is due to their individual wills or a lack of experience on Seras' part. It is unclear if Alucard is able to gain any familiars after consuming Schrödinger.
Shapeshifting
Though the form is of no particular importance to him, Alucard claims to be able to change into anything. He has changed into a girl, several bats, amorphous darkness, has several "default" forms, and can assume the form of a hellhound. It is unknown if he can take the shape of inanimate objects such as tables or chairs.
Mist Body
Alucard is capable of turning his body into some sort of dark reddish mist in order to render attacks against him useless.
Telepathy
Alucard is able to communicate telepathically with his fledgling, Seras. His telepathy doesn't seem to have a maximum range but he can also read the thoughts of others if he wishes.
Telekinesis
Alucard showed said ability when he was able to move the HMS Eagle to London overnight. Said ability was also demonstrated in the OVA when he knocked away two of the queen's bodyguards without even touching them, and how he slammed the door shut when the SWAT team attacking him in the hotel tried to escape. It can also be assumed that he used telekinesis to toss all the SWAT team out the hotel to impale them on flag poles.
Daywalking
Other vampires operate in the dark, because of a presumed weakness to light. Alucard however seems to have no problem with sunlight, only complaining that being up during the day is exhausting.
Weather Control
The ability to control the weather to an unknown limit, as demonstrated by the fog created when he returned to London aboard the H.M.S Eagle.
Hypnosis
Alucard has the ability to control minds, doing so on exclusively with Humans. The afflicted human will enter a euphoric, stupor-like state and their eyes will glow red. They will be pliant to all of Alucard's designs, doing and speaking as he wills. This hypnotic link is established through direct eye-contact and does not waver, even when Alucard's attention is elsewhere.
Gravity Defiance
Alucard, during his fight with Tubalcain, is shown not only to be able to stand vertically on a wall but run back up it. This would indicate some ability to defy gravity. Also, during Seras' first mission, Alucard is seen floating behind Seras.
Omnipresence
After consuming Schrödinger accidentally and being lost within himself for 30 years, Alucard emerges with the Werekin's powers. He is both everywhere and nowhere.
Supernatural Detection
The ability to sense supernatural activity. In The Dawn, a prequel to Hellsing, Alucard knew the Captain was a werewolf the moment he saw him, and in the OVA, he could see the blessings on Father Anderson's bayonets as well as the holy barrier preventing their escape.
Combat Experience
In addition to his superhuman abilities, Alucard also possesses centuries of combat experience. While he usually relies on crushing his opponents with sheer power, he does at times use strategy. When he fought Alhambra, Alucard used shadow duplicates to distract him, allowing Alucard to close the distance between them and deliver the death blow.