513142101241315 has 48 divisors (see below), whose sum is σ = 771570282466368. Its totient is φ = 324732368749824.

The previous prime is 513142101241291. The next prime is 513142101241331.

513142101241315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513142101241315 - 2³³ = 513133511306723 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2423932 + ... + 32127241.

It is an arithmetic number, because the mean of its divisors is an integer number (16074380884716).

Almost surely, 2^{513142101241315} is an apocalyptic number.

513142101241315 is a deficient number, since it is larger than the sum of its proper divisors (258428181225053).

513142101241315 is a wasteful number, since it uses less digits than its factorization.

513142101241315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34555868 (or 34555861 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

It can be divided in two parts, 51314210 and 1241315, that added together give a palindrome (52555525).

The spelling of 513142101241315 in words is "five hundred thirteen trillion, one hundred forty-two billion, one hundred one million, two hundred forty-one thousand, three hundred fifteen".