513942249315 has 32 divisors (see below), whose sum is σ = 898436779776. Its totient is φ = 248802469760.

The previous prime is 513942249313. The next prime is 513942249371.

513942249315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513942249315 - 2¹ = 513942249313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513942249313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2277249 + ... + 2492738.

It is an arithmetic number, because the mean of its divisors is an integer number (28076149368).

Almost surely, 2^513942249315 is an apocalyptic number.

513942249315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513942249315 is a deficient number, since it is larger than the sum of its proper divisors (384494530461).

513942249315 is a wasteful number, since it uses less digits than its factorization.

513942249315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770659.

The product of its digits is 1166400, while the sum is 48.

The spelling of 513942249315 in words is "five hundred thirteen billion, nine hundred forty-two million, two hundred forty-nine thousand, three hundred fifteen".