25087392100 has 81 divisors (see below), whose sum is σ = 55788117483. Its totient is φ = 9792303360.

The previous prime is 25087392073. The next prime is 25087392101. The reversal of 25087392100 is 129378052.

The square root of 25087392100 is 158390.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3473687844 + 21613704256 = 58938^2 + 147016^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25087392100.

It is not an unprimeable number, because it can be changed into a prime (25087392101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74443132 + ... + 74443468.

Almost surely, 2^25087392100 is an apocalyptic number.

25087392100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25087392100 is the 158390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25087392100

25087392100 is an abundant number, since it is smaller than the sum of its proper divisors (30700725383).

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

25087392100 is an equidigital number, since it uses as much as digits as its factorization.

25087392100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 25087392100 in words is "twenty-five billion, eighty-seven million, three hundred ninety-two thousand, one hundred".