508528125 has 180 divisors, whose sum is σ = 1131466644. Its totient is φ = 226800000.

The previous prime is 508528073. The next prime is 508528127. The reversal of 508528125 is 521825805.

508528125 is a `hidden beast` number, since 5 + 0 + 8 + 528 + 125 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 497379204 + 11148921 = 22302^2 + 3339^2 .

It is not a de Polignac number, because 508528125 - 2¹⁴ = 508511741 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 508528125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508528127) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 12403105 + ... + 12403145.

Almost surely, 2^508528125 is an apocalyptic number.

It is an amenable number.

508528125 is an abundant number, since it is smaller than the sum of its proper divisors (622938519).

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

508528125 is an frugal number, since it uses more digits than its factorization.

508528125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 508528125 is about 22550.5681746603. The cubic root of 508528125 is about 798.1876290106.

The spelling of 508528125 in words is "five hundred eight million, five hundred twenty-eight thousand, one hundred twenty-five".