513253352315 has 16 divisors (see below), whose sum is σ = 672145917696. Its totient is φ = 373135932000.

The previous prime is 513253352309. The next prime is 513253352377.

513253352315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513253352315 - 2¹⁰ = 513253351291 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1591511 + ... + 1886640.

It is an arithmetic number, because the mean of its divisors is an integer number (42009119856).

Almost surely, 2^513253352315 is an apocalyptic number.

513253352315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513253352315 is a deficient number, since it is larger than the sum of its proper divisors (158892565381).

513253352315 is a wasteful number, since it uses less digits than its factorization.

513253352315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480850.

The product of its digits is 202500, while the sum is 38.

It can be divided in two parts, 513253 and 352315, that added together give a palindrome (865568).

The spelling of 513253352315 in words is "five hundred thirteen billion, two hundred fifty-three million, three hundred fifty-two thousand, three hundred fifteen".