225982002564 has 18 divisors (see below), whose sum is σ = 571232284350. Its totient is φ = 75327334176.

The previous prime is 225982002553. The next prime is 225982002581. The reversal of 225982002564 is 465200289522.

It is a happy number.

225982002564 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 82 + 0 + 0 + 2 + 564 = 666.

225982002564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 206215892100 + 19766110464 = 454110^2 + 140592^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3138638889 + ... + 3138638960.

Almost surely, 2^225982002564 is an apocalyptic number.

It is an amenable number.

225982002564 is an abundant number, since it is smaller than the sum of its proper divisors (345250281786).

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

225982002564 is a wasteful number, since it uses less digits than its factorization.

225982002564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6277277859 (or 6277277854 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 225982002564 in words is "two hundred twenty-five billion, nine hundred eighty-two million, two thousand, five hundred sixty-four".