225624533013 has 96 divisors (see below), whose sum is σ = 369559756800. Its totient is φ = 131467190400.

The previous prime is 225624533003. The next prime is 225624533021. The reversal of 225624533013 is 310335426522.

225624533013 is a `hidden beast` number, since 2 + 2 + 562 + 4 + 53 + 30 + 13 = 666.

It is not a de Polignac number, because 225624533013 - 2⁴ = 225624532997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225624533003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77559403 + ... + 77562311.

It is an arithmetic number, because the mean of its divisors is an integer number (3849580800).

Almost surely, 2^225624533013 is an apocalyptic number.

It is an amenable number.

225624533013 is a deficient number, since it is larger than the sum of its proper divisors (143935223787).

225624533013 is a wasteful number, since it uses less digits than its factorization.

225624533013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 225624533013 its reverse (310335426522), we get a palindrome (535959959535).

The spelling of 225624533013 in words is "two hundred twenty-five billion, six hundred twenty-four million, five hundred thirty-three thousand, thirteen".