513132231315 has 64 divisors (see below), whose sum is σ = 916836433920. Its totient is φ = 242910514560.

The previous prime is 513132231307. The next prime is 513132231329.

513132231315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513132231315 - 2³ = 513132231307 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20158366 + ... + 20183804.

It is an arithmetic number, because the mean of its divisors is an integer number (14325569280).

Almost surely, 2^513132231315 is an apocalyptic number.

513132231315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513132231315 is a deficient number, since it is larger than the sum of its proper divisors (403704202605).

513132231315 is a wasteful number, since it uses less digits than its factorization.

513132231315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28344.

The product of its digits is 8100, while the sum is 30.

It can be divided in two parts, 513132 and 231315, that added together give a palindrome (744447).

The spelling of 513132231315 in words is "five hundred thirteen billion, one hundred thirty-two million, two hundred thirty-one thousand, three hundred fifteen".