509391938031 has 32 divisors (see below), whose sum is σ = 703201658880. Its totient is φ = 327655152000.

The previous prime is 509391938021. The next prime is 509391938039. The reversal of 509391938031 is 130839193905.

It is not a de Polignac number, because 509391938031 - 2⁹ = 509391937519 is a prime.

It is a super-2 number, since 2×509391938031² (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 (509391938039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89348481 + ... + 89354181.

It is an arithmetic number, because the mean of its divisors is an integer number (21975051840).

Almost surely, 2^509391938031 is an apocalyptic number.

509391938031 is a deficient number, since it is larger than the sum of its proper divisors (193809720849).

509391938031 is a wasteful number, since it uses less digits than its factorization.

509391938031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8447.

The product of its (nonzero) digits is 787320, while the sum is 51.

The spelling of 509391938031 in words is "five hundred nine billion, three hundred ninety-one million, nine hundred thirty-eight thousand, thirty-one".