256523754375 has 240 divisors, whose sum is σ = 543174128640. Its totient is φ = 114206400000.

The previous prime is 256523754367. The next prime is 256523754379. The reversal of 256523754375 is 573457325652.

256523754375 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 23 + 7 + 543 + 75 = 666.

It is not a de Polignac number, because 256523754375 - 2³ = 256523754367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256523754379) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 248810110 + ... + 248811140.

It is an arithmetic number, because the mean of its divisors is an integer number (2263225536).

Almost surely, 2^256523754375 is an apocalyptic number.

256523754375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256523754375 is an abundant number, since it is smaller than the sum of its proper divisors (286650374265).

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

256523754375 is a wasteful number, since it uses less digits than its factorization.

256523754375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1206 counting only the distinct ones).

The product of its digits is 26460000, while the sum is 54.

The spelling of 256523754375 in words is "two hundred fifty-six billion, five hundred twenty-three million, seven hundred fifty-four thousand, three hundred seventy-five".