52976707820100 has 81 divisors (see below), whose sum is σ = 166053231937047. Its totient is φ = 14127063857280.

The previous prime is 52976707820089. The next prime is 52976707820117. The reversal of 52976707820100 is 102870767925.

It is a happy number.

The square root of 52976707820100 is 7278510.

It is a perfect power (a square), and thus also a powerful number.

52976707820100 is a `hidden beast` number, since 529 + 7 + 6 + 7 + 0 + 7 + 8 + 2 + 0 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26851279239684 + 26125428580416 = 5181822^2 + 5111304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 218233992 + ... + 218476608.

Almost surely, 2^{52976707820100} is an apocalyptic number.

52976707820100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52976707820100 is the 7278510-th square number.

It is an amenable number.

52976707820100 is an abundant number, since it is smaller than the sum of its proper divisors (113076524116947).

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

52976707820100 is an frugal number, since it uses more digits than its factorization.

52976707820100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485254 (or 242627 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 52976707820100 in words is "fifty-two trillion, nine hundred seventy-six billion, seven hundred seven million, eight hundred twenty thousand, one hundred".