513037730315 has 32 divisors (see below), whose sum is σ = 680273372160. Its totient is φ = 368309260800.

The previous prime is 513037730291. The next prime is 513037730329.

513037730315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513037730315 - 2¹⁰ = 513037729291 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23004320 + ... + 23026610.

It is an arithmetic number, because the mean of its divisors is an integer number (21258542880).

Almost surely, 2^513037730315 is an apocalyptic number.

513037730315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513037730315 is a deficient number, since it is larger than the sum of its proper divisors (167235641845).

513037730315 is a wasteful number, since it uses less digits than its factorization.

513037730315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27683.

The product of its (nonzero) digits is 99225, while the sum is 38.

The spelling of 513037730315 in words is "five hundred thirteen billion, thirty-seven million, seven hundred thirty thousand, three hundred fifteen".