52932204900 has 81 divisors (see below), whose sum is σ = 165934692651. Its totient is φ = 14113414080.

The previous prime is 52932204893. The next prime is 52932204907. The reversal of 52932204900 is 940223925.

The square root of 52932204900 is 230070.

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

It is an interprime number because it is at equal distance from previous prime (52932204893) and next prime (52932204907).

It can be written as a sum of positive squares in 4 ways, for example, as 8589953124 + 44342251776 = 92682^2 + 210576^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52932204907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6898266 + ... + 6905934.

Almost surely, 2^52932204900 is an apocalyptic number.

52932204900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52932204900 is the 230070-th square number.

It is an amenable number.

52932204900 is an abundant number, since it is smaller than the sum of its proper divisors (113002487751).

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

52932204900 is an equidigital number, since it uses as much as digits as its factorization.

52932204900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15358 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 52932204900 by its sum of digits (36), we get a square (1905559376400 = 1380420²).

52932204900 divided by its sum of digits (36) gives a square (1470339025 = 38345²).

The spelling of 52932204900 in words is "fifty-two billion, nine hundred thirty-two million, two hundred four thousand, nine hundred".