22253180625 has 315 divisors, whose sum is σ = 47957955573. Its totient is φ = 10310976000.

The previous prime is 22253180567. The next prime is 22253180641. The reversal of 22253180625 is 52608135222.

It is a happy number.

The square root of 22253180625 is 149175.

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

22253180625 is a `hidden beast` number, since 2 + 2 + 25 + 3 + 1 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 19207465281 + 3045715344 = 138591^2 + 55188^2 .

It is not a de Polignac number, because 22253180625 - 2¹⁹ = 22252656337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22253180625.

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 314 ways as a sum of consecutive naturals, for example, 1309010617 + ... + 1309010633.

Almost surely, 2^22253180625 is an apocalyptic number.

22253180625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22253180625 is the 149175-th square number.

22253180625 is the 74588-th centered octagonal number.

It is an amenable number.

22253180625 is an abundant number, since it is smaller than the sum of its proper divisors (25704774948).

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

22253180625 is an frugal number, since it uses more digits than its factorization.

22253180625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 22253180625 by its sum of digits (36), we get a square (801114502500 = 895050²).

The spelling of 22253180625 in words is "twenty-two billion, two hundred fifty-three million, one hundred eighty thousand, six hundred twenty-five".