725626657 has 32 divisors (see below), whose sum is σ = 904131072. Its totient is φ = 568249344.

The previous prime is 725626637. The next prime is 725626667. The reversal of 725626657 is 756626527.

It is not a de Polignac number, because 725626657 - 2¹⁵ = 725593889 is a prime.

It is a super-3 number, since 3×725626657³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725626607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 649063 + ... + 650179.

It is an arithmetic number, because the mean of its divisors is an integer number (28254096).

Almost surely, 2^725626657 is an apocalyptic number.

It is an amenable number.

725626657 is a deficient number, since it is larger than the sum of its proper divisors (178504415).

725626657 is a wasteful number, since it uses less digits than its factorization.

725626657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297.

The product of its digits is 1058400, while the sum is 46.

The square root of 725626657 is about 26937.4582505477. The cubic root of 725626657 is about 898.6096462395.

The spelling of 725626657 in words is "seven hundred twenty-five million, six hundred twenty-six thousand, six hundred fifty-seven".