509813900 has 18 divisors (see below), whose sum is σ = 1106296380. Its totient is φ = 203925520.

The previous prime is 509813893. The next prime is 509813917. The reversal of 509813900 is 9318905.

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 5 ways as a sum of consecutive naturals, for example, 2548970 + ... + 2549169.

It is an arithmetic number, because the mean of its divisors is an integer number (61460910).

Almost surely, 2^509813900 is an apocalyptic number.

509813900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

509813900 is an abundant number, since it is smaller than the sum of its proper divisors (596482480).

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

509813900 is a wasteful number, since it uses less digits than its factorization.

509813900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098153 (or 5098146 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 509813900 is about 22579.0588820704. The cubic root of 509813900 is about 798.8597819004.

The spelling of 509813900 in words is "five hundred nine million, eight hundred thirteen thousand, nine hundred".