22540518225 has 27 divisors (see below), whose sum is σ = 40376606673. Its totient is φ = 12020408640.

The previous prime is 22540518223. The next prime is 22540518239. The reversal of 22540518225 is 52281504522.

The square root of 22540518225 is 150135.

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

22540518225 is a `hidden beast` number, since 2 + 25 + 405 + 1 + 8 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6842432961 + 15698085264 = 82719^2 + 125292^2 .

It is not a de Polignac number, because 22540518225 - 2¹ = 22540518223 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 22540518225.

It is not an unprimeable number, because it can be changed into a prime (22540518223) 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, 2247021 + ... + 2257029.

Almost surely, 2^22540518225 is an apocalyptic number.

22540518225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22540518225 is the 150135-th square number.

22540518225 is the 75068-th centered octagonal number.

It is an amenable number.

22540518225 is a deficient number, since it is larger than the sum of its proper divisors (17836088448).

22540518225 is an frugal number, since it uses more digits than its factorization.

22540518225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20034 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Multiplying 22540518225 by its sum of digits (36), we get a square (811458656100 = 900810²).

The spelling of 22540518225 in words is "twenty-two billion, five hundred forty million, five hundred eighteen thousand, two hundred twenty-five".