256510107076401 has 8 divisors (see below), whose sum is σ = 380014973446560. Its totient is φ = 171006738050916.

The previous prime is 256510107076337. The next prime is 256510107076403. The reversal of 256510107076401 is 104670701015652.

256510107076401 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 101 + 0 + 70 + 76 + 401 = 666.

It is not a de Polignac number, because 256510107076401 - 2⁶ = 256510107076337 is a prime.

It is a super-2 number, since 2×256510107076401² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256510107076403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4750187168055 + ... + 4750187168108.

It is an arithmetic number, because the mean of its divisors is an integer number (47501871680820).

Almost surely, 2^{256510107076401} is an apocalyptic number.

It is an amenable number.

256510107076401 is a deficient number, since it is larger than the sum of its proper divisors (123504866370159).

256510107076401 is an equidigital number, since it uses as much as digits as its factorization.

256510107076401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500374336172 (or 9500374336166 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 256510107076401 in words is "two hundred fifty-six trillion, five hundred ten billion, one hundred seven million, seventy-six thousand, four hundred one".