25252388100 has 81 divisors (see below), whose sum is σ = 79167153247. Its totient is φ = 6732698880.

The previous prime is 25252388071. The next prime is 25252388101. The reversal of 25252388100 is 188325252.

The square root of 25252388100 is 158910.

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

25252388100 is a `hidden beast` number, since 2 + 52 + 523 + 8 + 81 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 998686404 + 24253701696 = 31602^2 + 155736^2 .

It is a super-2 number, since 2×25252388100² (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25252388101) 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, 4764652 + ... + 4769948.

Almost surely, 2^25252388100 is an apocalyptic number.

25252388100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25252388100 is the 158910-th square number.

It is an amenable number.

25252388100 is an abundant number, since it is smaller than the sum of its proper divisors (53914765147).

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

25252388100 is an equidigital number, since it uses as much as digits as its factorization.

25252388100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10614 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Multiplying 25252388100 by its sum of digits (36), we get a square (909085971600 = 953460²).

25252388100 divided by its sum of digits (36) gives a square (701455225 = 26485²).

The spelling of 25252388100 in words is "twenty-five billion, two hundred fifty-two million, three hundred eighty-eight thousand, one hundred".