56577125241 has 192 divisors, whose sum is σ = 108816192000. Its totient is φ = 29006595072.

The previous prime is 56577125219. The next prime is 56577125261. The reversal of 56577125241 is 14252177565.

56577125241 is a `hidden beast` number, since 5 + 6 + 57 + 71 + 2 + 524 + 1 = 666.

56577125241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56577125241 - 2⁶ = 56577125177 is a prime.

It is a super-2 number, since 2×56577125241² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56577125261) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57908545 + ... + 57909521.

It is an arithmetic number, because the mean of its divisors is an integer number (566751000).

Almost surely, 2^56577125241 is an apocalyptic number.

It is an amenable number.

56577125241 is a deficient number, since it is larger than the sum of its proper divisors (52239066759).

56577125241 is a wasteful number, since it uses less digits than its factorization.

56577125241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1037 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The spelling of 56577125241 in words is "fifty-six billion, five hundred seventy-seven million, one hundred twenty-five thousand, two hundred forty-one".