509713104 has 40 divisors (see below), whose sum is σ = 1320575200. Its totient is φ = 169411968.

The previous prime is 509713069. The next prime is 509713117. The reversal of 509713104 is 401317905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1539 + ... + 31965.

It is an arithmetic number, because the mean of its divisors is an integer number (33014380).

Almost surely, 2^509713104 is an apocalyptic number.

It is an amenable number.

509713104 is an abundant number, since it is smaller than the sum of its proper divisors (810862096).

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

509713104 is a wasteful number, since it uses less digits than its factorization.

509713104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30787 (or 30781 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 509713104 is about 22576.8267035029. The cubic root of 509713104 is about 798.8071305455.

The spelling of 509713104 in words is "five hundred nine million, seven hundred thirteen thousand, one hundred four".