562522500225 has 135 divisors (see below), whose sum is σ = 1212615594201. Its totient is φ = 257045140800.

The previous prime is 562522500217. The next prime is 562522500227. The reversal of 562522500225 is 522005225265.

The square root of 562522500225 is 750015.

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

562522500225 is a `hidden beast` number, since 5 + 62 + 522 + 50 + 0 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 344239184961 + 218283315264 = 586719^2 + 467208^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 562522500225 - 2³ = 562522500217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 562522500225.

It is not an unprimeable number, because it can be changed into a prime (562522500227) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 236253535 + ... + 236255915.

Almost surely, 2^562522500225 is an apocalyptic number.

562522500225 is the 750015-th square number.

562522500225 is the 375008-th centered octagonal number.

It is an amenable number.

562522500225 is an abundant number, since it is smaller than the sum of its proper divisors (650093093976).

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

562522500225 is an frugal number, since it uses more digits than its factorization.

562522500225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Multiplying 562522500225 by its sum of digits (36), we get a square (20250810008100 = 4500090²).

The spelling of 562522500225 in words is "five hundred sixty-two billion, five hundred twenty-two million, five hundred thousand, two hundred twenty-five".