52113212064576 has 168 divisors, whose sum is σ = 160941149689320. Its totient is φ = 16027079675904.

The previous prime is 52113212064527. The next prime is 52113212064581. The reversal of 52113212064576 is 67546021231125.

52113212064576 is a `hidden beast` number, since 5 + 2 + 1 + 1 + 3 + 2 + 12 + 0 + 64 + 576 = 666.

52113212064576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6712244640000 + 45400967424576 = 2590800^2 + 6738024^2 .

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 23 ways as a sum of consecutive naturals, for example, 13810806 + ... + 17174538.

It is an arithmetic number, because the mean of its divisors is an integer number (957983033865).

Almost surely, 2^{52113212064576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52113212064576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80470574844660).

52113212064576 is an abundant number, since it is smaller than the sum of its proper divisors (108827937624744).

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

52113212064576 is a wasteful number, since it uses less digits than its factorization.

52113212064576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365833 (or 3365820 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 52113212064576 in words is "fifty-two trillion, one hundred thirteen billion, two hundred twelve million, sixty-four thousand, five hundred seventy-six".