256517336055225 has 576 divisors, whose sum is σ = 533879429529600. Its totient is φ = 106319214144000.

The previous prime is 256517336055199. The next prime is 256517336055263. The reversal of 256517336055225 is 522550633715652.

It is not a de Polignac number, because 256517336055225 - 2⁶ = 256517336055161 is a prime.

It is a super-2 number, since 2×256517336055225² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 89099455336 + ... + 89099458214.

It is an arithmetic number, because the mean of its divisors is an integer number (926874009600).

Almost surely, 2^{256517336055225} is an apocalyptic number.

256517336055225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256517336055225 is an abundant number, since it is smaller than the sum of its proper divisors (277362093474375).

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

256517336055225 is a wasteful number, since it uses less digits than its factorization.

256517336055225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 56700000, while the sum is 57.

The spelling of 256517336055225 in words is "two hundred fifty-six trillion, five hundred seventeen billion, three hundred thirty-six million, fifty-five thousand, two hundred twenty-five".