509828317 has 32 divisors (see below), whose sum is σ = 574801920. Its totient is φ = 450078720.

The previous prime is 509828309. The next prime is 509828447. The reversal of 509828317 is 713828905.

It is a cyclic number.

It is not a de Polignac number, because 509828317 - 2³ = 509828309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509828017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2587863 + ... + 2588059.

It is an arithmetic number, because the mean of its divisors is an integer number (17962560).

Almost surely, 2^509828317 is an apocalyptic number.

It is an amenable number.

509828317 is a deficient number, since it is larger than the sum of its proper divisors (64973603).

509828317 is a wasteful number, since it uses less digits than its factorization.

509828317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381.

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 509828317 is about 22579.3781358123. The cubic root of 509828317 is about 798.8673121338.

The spelling of 509828317 in words is "five hundred nine million, eight hundred twenty-eight thousand, three hundred seventeen".