225931564287 has 96 divisors (see below), whose sum is σ = 396736284672. Its totient is φ = 122018400000.

The previous prime is 225931564253. The next prime is 225931564303. The reversal of 225931564287 is 782465139522.

225931564287 is a `hidden beast` number, since 2 + 2 + 59 + 3 + 1 + 564 + 28 + 7 = 666.

It is not a de Polignac number, because 225931564287 - 2²⁰ = 225930515711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225931564217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16789912 + ... + 16803362.

It is an arithmetic number, because the mean of its divisors is an integer number (4132669632).

Almost surely, 2^225931564287 is an apocalyptic number.

225931564287 is a deficient number, since it is larger than the sum of its proper divisors (170804720385).

225931564287 is a wasteful number, since it uses less digits than its factorization.

225931564287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13933 (or 13930 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 225931564287 in words is "two hundred twenty-five billion, nine hundred thirty-one million, five hundred sixty-four thousand, two hundred eighty-seven".