256604054625 has 128 divisors (see below), whose sum is σ = 484764134400. Its totient is φ = 133907558400.

The previous prime is 256604054611. The next prime is 256604054627. The reversal of 256604054625 is 526450406652.

256604054625 is a `hidden beast` number, since 2 + 5 + 6 + 60 + 40 + 546 + 2 + 5 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-256604054625 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (256604054627) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29131972 + ... + 29140778.

It is an arithmetic number, because the mean of its divisors is an integer number (3787219800).

Almost surely, 2^256604054625 is an apocalyptic number.

256604054625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256604054625 is a deficient number, since it is larger than the sum of its proper divisors (228160079775).

256604054625 is an equidigital number, since it uses as much as digits as its factorization.

256604054625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9017 (or 9001 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

It can be divided in two parts, 25660405 and 4625, that added together give a triangular number (25665030 = T₇₁₆₄).

The spelling of 256604054625 in words is "two hundred fifty-six billion, six hundred four million, fifty-four thousand, six hundred twenty-five".