256314625625 has 10 divisors (see below), whose sum is σ = 320290756962. Its totient is φ = 205051700000.

The previous prime is 256314625561. The next prime is 256314625627. The reversal of 256314625625 is 526526413652.

It can be written as a sum of positive squares in 5 ways, for example, as 20231364169 + 236083261456 = 142237^2 + 485884^2 .

It is not a de Polignac number, because 256314625625 - 2⁶ = 256314625561 is a prime.

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 256314625625.

It is not an unprimeable number, because it can be changed into a prime (256314625627) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 205051076 + ... + 205052325.

Almost surely, 2^256314625625 is an apocalyptic number.

256314625625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256314625625 is a deficient number, since it is larger than the sum of its proper divisors (63976131337).

256314625625 is an frugal number, since it uses more digits than its factorization.

256314625625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410103421 (or 410103406 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 47.

The spelling of 256314625625 in words is "two hundred fifty-six billion, three hundred fourteen million, six hundred twenty-five thousand, six hundred twenty-five".