507375625 has 45 divisors (see below), whose sum is σ = 686452921. Its totient is φ = 374816000.

The previous prime is 507375581. The next prime is 507375641. The reversal of 507375625 is 526573705.

The square root of 507375625 is 22525.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 478603129 + 28772496 = 21877^2 + 5364^2 .

It is not a de Polignac number, because 507375625 - 2⁷ = 507375497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9573099 + ... + 9573151.

Almost surely, 2^507375625 is an apocalyptic number.

507375625 is the 22525-th square number.

507375625 is the 11263-rd centered octagonal number.

It is an amenable number.

507375625 is a deficient number, since it is larger than the sum of its proper divisors (179077296).

507375625 is an frugal number, since it uses more digits than its factorization.

507375625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 40.

The cubic root of 507375625 is about 797.5841834857.

The spelling of 507375625 in words is "five hundred seven million, three hundred seventy-five thousand, six hundred twenty-five".