2556631166925 has 96 divisors (see below), whose sum is σ = 4678353137664. Its totient is φ = 1221551968000.

The previous prime is 2556631166917. The next prime is 2556631166927. The reversal of 2556631166925 is 5296611366552.

It is a happy number.

It is not a de Polignac number, because 2556631166925 - 2³ = 2556631166917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556631166927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143324107 + ... + 143341943.

It is an arithmetic number, because the mean of its divisors is an integer number (48732845184).

Almost surely, 2^{2556631166925} is an apocalyptic number.

2556631166925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2556631166925 is a deficient number, since it is larger than the sum of its proper divisors (2121721970739).

2556631166925 is a wasteful number, since it uses less digits than its factorization.

2556631166925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20379 (or 20374 counting only the distinct ones).

The product of its digits is 17496000, while the sum is 57.

The spelling of 2556631166925 in words is "two trillion, five hundred fifty-six billion, six hundred thirty-one million, one hundred sixty-six thousand, nine hundred twenty-five".