256510045760151 has 16 divisors (see below), whose sum is σ = 342177986259200. Its totient is φ = 170924418217728.

The previous prime is 256510045760149. The next prime is 256510045760153. The reversal of 256510045760151 is 151067540015652.

256510045760151 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256510045760149) and next prime (256510045760153).

It is not a de Polignac number, because 256510045760151 - 2¹ = 256510045760149 is a prime.

It is a super-2 number, since 2×256510045760151² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 256510045760151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256510045760153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58371495 + ... + 62611911.

It is an arithmetic number, because the mean of its divisors is an integer number (21386124141200).

Almost surely, 2^{256510045760151} is an apocalyptic number.

256510045760151 is a deficient number, since it is larger than the sum of its proper divisors (85667940499049).

256510045760151 is a wasteful number, since it uses less digits than its factorization.

256510045760151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250118.

The product of its (nonzero) digits is 1260000, while the sum is 48.

The spelling of 256510045760151 in words is "two hundred fifty-six trillion, five hundred ten billion, forty-five million, seven hundred sixty thousand, one hundred fifty-one".