256112152313325 has 192 divisors, whose sum is σ = 532590064054272. Its totient is φ = 105499022745600.

The previous prime is 256112152313317. The next prime is 256112152313333. The reversal of 256112152313325 is 523313251211652.

It is an interprime number because it is at equal distance from previous prime (256112152313317) and next prime (256112152313333).

It is not a de Polignac number, because 256112152313325 - 2³ = 256112152313317 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 340065879 + ... + 340818171.

It is an arithmetic number, because the mean of its divisors is an integer number (2773906583616).

Almost surely, 2^{256112152313325} is an apocalyptic number.

256112152313325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256112152313325 is an abundant number, since it is smaller than the sum of its proper divisors (276477911740947).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256112152313325 is a wasteful number, since it uses less digits than its factorization.

256112152313325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752844 (or 752839 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The spelling of 256112152313325 in words is "two hundred fifty-six trillion, one hundred twelve billion, one hundred fifty-two million, three hundred thirteen thousand, three hundred twenty-five".