508395825 has 144 divisors (see below), whose sum is σ = 1145016000. Its totient is φ = 219905280.

The previous prime is 508395793. The next prime is 508395869. The reversal of 508395825 is 528593805.

It is not a de Polignac number, because 508395825 - 2⁵ = 508395793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 628021 + ... + 628829.

It is an arithmetic number, because the mean of its divisors is an integer number (7951500).

Almost surely, 2^508395825 is an apocalyptic number.

It is an amenable number.

508395825 is an abundant number, since it is smaller than the sum of its proper divisors (636620175).

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

508395825 is a wasteful number, since it uses less digits than its factorization.

508395825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 508395825 is about 22547.6345766025. The cubic root of 508395825 is about 798.1184034836.

The spelling of 508395825 in words is "five hundred eight million, three hundred ninety-five thousand, eight hundred twenty-five".