513153262351315 has 16 divisors (see below), whose sum is σ = 621882094747680. Its totient is φ = 406457173715200.

The previous prime is 513153262351313. The next prime is 513153262351319.

513153262351315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513153262351315 - 2¹ = 513153262351313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513153262351313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358591896 + ... + 360020074.

It is an arithmetic number, because the mean of its divisors is an integer number (38867630921730).

Almost surely, 2^{513153262351315} is an apocalyptic number.

513153262351315 is a deficient number, since it is larger than the sum of its proper divisors (108728832396365).

513153262351315 is a wasteful number, since it uses less digits than its factorization.

513153262351315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139782.

The product of its digits is 1215000, while the sum is 46.

The spelling of 513153262351315 in words is "five hundred thirteen trillion, one hundred fifty-three billion, two hundred sixty-two million, three hundred fifty-one thousand, three hundred fifteen".