52159777795125 has 576 divisors, whose sum is σ = 134087438983680. Its totient is φ = 19139307264000.

The previous prime is 52159777795117. The next prime is 52159777795211.

52159777795125 is a `hidden beast` number, since 5 + 2 + 1 + 597 + 7 + 7 + 7 + 9 + 5 + 1 + 25 = 666.

52159777795125 is nontrivially palindromic in base 10.

52159777795125 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 52159777795125 - 2³ = 52159777795117 is a prime.

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 181162281 + ... + 181449969.

It is an arithmetic number, because the mean of its divisors is an integer number (232790692680).

Almost surely, 2^{52159777795125} is an apocalyptic number.

52159777795125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52159777795125 is an abundant number, since it is smaller than the sum of its proper divisors (81927661188555).

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

52159777795125 is a wasteful number, since it uses less digits than its factorization.

52159777795125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287771 (or 287751 counting only the distinct ones).

The product of its digits is 486202500, while the sum is 72.

The spelling of 52159777795125 in words is "fifty-two trillion, one hundred fifty-nine billion, seven hundred seventy-seven million, seven hundred ninety-five thousand, one hundred twenty-five".