22513502025 has 81 divisors (see below), whose sum is σ = 46940572341. Its totient is φ = 10284684480.

The previous prime is 22513502017. The next prime is 22513502047. The reversal of 22513502025 is 52020531522.

The square root of 22513502025 is 150045.

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 8564947209 + 13948554816 = 92547^2 + 118104^2 .

It is not a de Polignac number, because 22513502025 - 2³ = 22513502017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22513502025.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 15754011 + ... + 15755439.

Almost surely, 2^22513502025 is an apocalyptic number.

22513502025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22513502025 is the 150045-th square number.

22513502025 is the 75023-rd centered octagonal number.

It is an amenable number.

22513502025 is an abundant number, since it is smaller than the sum of its proper divisors (24427070316).

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

22513502025 is an equidigital number, since it uses as much as digits as its factorization.

22513502025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 22513502025 in words is "twenty-two billion, five hundred thirteen million, five hundred two thousand, twenty-five".