52491392100 has 243 divisors, whose sum is σ = 191569204281. Its totient is φ = 11987035200.

The previous prime is 52491392077. The next prime is 52491392123. The reversal of 52491392100 is 129319425.

The square root of 52491392100 is 229110.

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

52491392100 is a `hidden beast` number, since 524 + 91 + 39 + 2 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52491392077) and next prime (52491392123).

It can be written as a sum of positive squares in only one way, i.e., 18896901156 + 33594490944 = 137466^2 + 183288^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 48112555 + ... + 48113645.

Almost surely, 2^52491392100 is an apocalyptic number.

52491392100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52491392100 is the 229110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52491392100

52491392100 is an abundant number, since it is smaller than the sum of its proper divisors (139077812181).

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

52491392100 is a wasteful number, since it uses less digits than its factorization.

52491392100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 52491392100 by its sum of digits (36), we get a square (1889690115600 = 1374660²).

52491392100 divided by its sum of digits (36) gives a square (1458094225 = 38185²).

The spelling of 52491392100 in words is "fifty-two billion, four hundred ninety-one million, three hundred ninety-two thousand, one hundred".