507523820 has 48 divisors (see below), whose sum is σ = 1152248160. Its totient is φ = 187121664.

The previous prime is 507523817. The next prime is 507523823. The reversal of 507523820 is 28325705.

It is an interprime number because it is at equal distance from previous prime (507523817) and next prime (507523823).

It is not an unprimeable number, because it can be changed into a prime (507523823) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3989 + ... + 32108.

It is an arithmetic number, because the mean of its divisors is an integer number (24005170).

Almost surely, 2^507523820 is an apocalyptic number.

It is an amenable number.

507523820 is an abundant number, since it is smaller than the sum of its proper divisors (644724340).

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

507523820 is a wasteful number, since it uses less digits than its factorization.

507523820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36162 (or 36160 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 507523820 is about 22528.2893269773. The cubic root of 507523820 is about 797.6618291038.

The spelling of 507523820 in words is "five hundred seven million, five hundred twenty-three thousand, eight hundred twenty".