22510501225 has 27 divisors (see below), whose sum is σ = 28723233861. Its totient is φ = 17500082400.

The previous prime is 22510501219. The next prime is 22510501241. The reversal of 22510501225 is 52210501522.

The square root of 22510501225 is 150035.

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 2136935529 + 20373565696 = 46227^2 + 142736^2 .

It is not a de Polignac number, because 22510501225 - 2¹⁷ = 22510370153 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 22510501225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27756070 + ... + 27756880.

Almost surely, 2^22510501225 is an apocalyptic number.

22510501225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22510501225 is the 150035-th square number.

22510501225 is the 75018-th centered octagonal number.

It is an amenable number.

22510501225 is a deficient number, since it is larger than the sum of its proper divisors (6212732636).

22510501225 is an frugal number, since it uses more digits than its factorization.

22510501225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Multiplying 22510501225 by its sum of digits (25), we get a square (562762530625 = 750175²).

22510501225 divided by its sum of digits (25) gives a square (900420049 = 30007²).

The spelling of 22510501225 in words is "twenty-two billion, five hundred ten million, five hundred one thousand, two hundred twenty-five".