513431134315 has 12 divisors (see below), whose sum is σ = 677219910192. Its totient is φ = 373404460880.

The previous prime is 513431134297. The next prime is 513431134319.

513431134315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513431134315 - 2⁵ = 513431134283 is a prime.

It is a super-2 number, since 2×513431134315² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513431134319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424322647 + ... + 424323856.

It is an arithmetic number, because the mean of its divisors is an integer number (56434992516).

Almost surely, 2^513431134315 is an apocalyptic number.

513431134315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513431134315 is a deficient number, since it is larger than the sum of its proper divisors (163788775877).

513431134315 is a wasteful number, since it uses less digits than its factorization.

513431134315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848646530 (or 848646519 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

It can be divided in two parts, 513431 and 134315, that added together give a palindrome (647746).

The spelling of 513431134315 in words is "five hundred thirteen billion, four hundred thirty-one million, one hundred thirty-four thousand, three hundred fifteen".