509039672317 has 16 divisors (see below), whose sum is σ = 555810342912. Its totient is φ = 462351622320.

The previous prime is 509039672311. The next prime is 509039672347. The reversal of 509039672317 is 713276930905.

It is a cyclic number.

It is not a de Polignac number, because 509039672317 - 2⁷ = 509039672189 is a prime.

It is a super-2 number, since 2×509039672317² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509039672311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85939918 + ... + 85945840.

It is an arithmetic number, because the mean of its divisors is an integer number (34738146432).

Almost surely, 2^509039672317 is an apocalyptic number.

It is an amenable number.

509039672317 is a deficient number, since it is larger than the sum of its proper divisors (46770670595).

509039672317 is a wasteful number, since it uses less digits than its factorization.

509039672317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11568.

The product of its (nonzero) digits is 2143260, while the sum is 52.

The spelling of 509039672317 in words is "five hundred nine billion, thirty-nine million, six hundred seventy-two thousand, three hundred seventeen".