25513672900 has 27 divisors (see below), whose sum is σ = 55368136551. Its totient is φ = 10204830240.

The previous prime is 25513672813. The next prime is 25513672931. The reversal of 25513672900 is 927631552.

The square root of 25513672900 is 159730.

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 336869316 + 25176803584 = 18354^2 + 158672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1589314 + ... + 1605286.

Almost surely, 2^25513672900 is an apocalyptic number.

25513672900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25513672900 is the 159730-th square number.

It is an amenable number.

25513672900 is an abundant number, since it is smaller than the sum of its proper divisors (29854463651).

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

25513672900 is an frugal number, since it uses more digits than its factorization.

25513672900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31960 (or 15980 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 25513672900 in words is "twenty-five billion, five hundred thirteen million, six hundred seventy-two thousand, nine hundred".