509312947 has 16 divisors (see below), whose sum is σ = 612954720. Its totient is φ = 416966400.

The previous prime is 509312933. The next prime is 509312959. The reversal of 509312947 is 749213905.

It is a cyclic number.

It is not a de Polignac number, because 509312947 - 2¹⁵ = 509280179 is a prime.

It is a super-3 number, since 3×509312947³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509312927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37572 + ... + 49297.

It is an arithmetic number, because the mean of its divisors is an integer number (38309670).

Almost surely, 2^509312947 is an apocalyptic number.

509312947 is a deficient number, since it is larger than the sum of its proper divisors (103641773).

509312947 is a wasteful number, since it uses less digits than its factorization.

509312947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86934.

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 509312947 is about 22567.9628455915. The cubic root of 509312947 is about 798.5980377918.

The spelling of 509312947 in words is "five hundred nine million, three hundred twelve thousand, nine hundred forty-seven".