52657566575625 has 180 divisors, whose sum is σ = 104696101285776. Its totient is φ = 25476117480000.

The previous prime is 52657566575491. The next prime is 52657566575687.

52657566575625 is a `hidden beast` number, since 5 + 2 + 6 + 5 + 7 + 5 + 6 + 6 + 57 + 562 + 5 = 666.

52657566575625 is nontrivially palindromic in base 10.

52657566575625 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 52657566575625 - 2¹⁶ = 52657566510089 is a prime.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 317769042 + ... + 317934708.

Almost surely, 2^{52657566575625} is an apocalyptic number.

52657566575625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52657566575625 is a deficient number, since it is larger than the sum of its proper divisors (52038534710151).

52657566575625 is a wasteful number, since it uses less digits than its factorization.

52657566575625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166182 (or 166153 counting only the distinct ones).

The product of its digits is 3969000000, while the sum is 72.

The spelling of 52657566575625 in words is "fifty-two trillion, six hundred fifty-seven billion, five hundred sixty-six million, five hundred seventy-five thousand, six hundred twenty-five".