256456251 has 24 divisors (see below), whose sum is σ = 386022000. Its totient is φ = 163864512.

The previous prime is 256456247. The next prime is 256456253. The reversal of 256456251 is 152654652.

256456251 is a `hidden beast` number, since 2 + 5 + 645 + 6 + 2 + 5 + 1 = 666.

It is not a de Polignac number, because 256456251 - 2² = 256456247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256456253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32745 + ... + 39813.

It is an arithmetic number, because the mean of its divisors is an integer number (16084250).

Almost surely, 2^256456251 is an apocalyptic number.

256456251 is a deficient number, since it is larger than the sum of its proper divisors (129565749).

256456251 is a wasteful number, since it uses less digits than its factorization.

256456251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7243 (or 7240 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 256456251 is about 16014.2514967138. The cubic root of 256456251 is about 635.3374121835.

The spelling of 256456251 in words is "two hundred fifty-six million, four hundred fifty-six thousand, two hundred fifty-one".