725018589 has 48 divisors (see below), whose sum is σ = 1121281200. Its totient is φ = 450551808.

The previous prime is 725018563. The next prime is 725018599. The reversal of 725018589 is 985810527.

It is a happy number.

725018589 is a `hidden beast` number, since 7 + 2 + 50 + 18 + 589 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 870489 + 724148100 = 933^2 + 26910^2 .

It is not a de Polignac number, because 725018589 - 2⁷ = 725018461 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725018599) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1863607 + ... + 1863995.

It is an arithmetic number, because the mean of its divisors is an integer number (23360025).

Almost surely, 2^725018589 is an apocalyptic number.

725018589 is the 14393-rd nonagonal number.

It is an amenable number.

725018589 is a deficient number, since it is larger than the sum of its proper divisors (396262611).

725018589 is a wasteful number, since it uses less digits than its factorization.

725018589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 725018589 is about 26926.1692225240. The cubic root of 725018589 is about 898.3585674115.

The spelling of 725018589 in words is "seven hundred twenty-five million, eighteen thousand, five hundred eighty-nine".