52137066400 has 36 divisors (see below), whose sum is σ = 127279615302. Its totient is φ = 20854826240.

The previous prime is 52137066383. The next prime is 52137066419. The reversal of 52137066400 is 466073125.

It is a happy number.

52137066400 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 3 ways, for example, as 25637133456 + 26499932944 = 160116^2 + 162788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32584867 + ... + 32586466.

Almost surely, 2^52137066400 is an apocalyptic number.

52137066400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52137066400 is an abundant number, since it is smaller than the sum of its proper divisors (75142548902).

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

52137066400 is a wasteful number, since it uses less digits than its factorization.

52137066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65171353 (or 65171340 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 52137066400 in words is "fifty-two billion, one hundred thirty-seven million, sixty-six thousand, four hundred".