22524306561 has 27 divisors (see below), whose sum is σ = 34350654819. Its totient is φ = 14220474912.

The previous prime is 22524306533. The next prime is 22524306577. The reversal of 22524306561 is 16560342522.

The square root of 22524306561 is 150081.

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

22524306561 is a `hidden beast` number, since 2 + 2 + 52 + 43 + 0 + 6 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3685097025 + 18839209536 = 60705^2 + 137256^2 .

It is not a de Polignac number, because 22524306561 - 2¹⁷ = 22524175489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22524306661) 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, 8553301 + ... + 8555933.

Almost surely, 2^22524306561 is an apocalyptic number.

22524306561 is the 150081-st square number.

22524306561 is the 75041-st centered octagonal number.

It is an amenable number.

22524306561 is a deficient number, since it is larger than the sum of its proper divisors (11826348258).

22524306561 is an frugal number, since it uses more digits than its factorization.

22524306561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 22524306561 by its sum of digits (36), we get a square (810875036196 = 900486²).

The spelling of 22524306561 in words is "twenty-two billion, five hundred twenty-four million, three hundred six thousand, five hundred sixty-one".