513324423315 has 96 divisors (see below), whose sum is σ = 1002432817152. Its totient is φ = 240742656000.

The previous prime is 513324423263. The next prime is 513324423323.

513324423315 is a `hidden beast` number, since 5 + 1 + 332 + 4 + 4 + 2 + 3 + 315 = 666.

513324423315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513324423315 - 2¹⁰ = 513324422291 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513324423315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38831587 + ... + 38844803.

It is an arithmetic number, because the mean of its divisors is an integer number (10442008512).

Almost surely, 2^513324423315 is an apocalyptic number.

513324423315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513324423315 is a deficient number, since it is larger than the sum of its proper divisors (489108393837).

513324423315 is a wasteful number, since it uses less digits than its factorization.

513324423315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15801 (or 15798 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 513324 and 423315, that added together give a palindrome (936639).

The spelling of 513324423315 in words is "five hundred thirteen billion, three hundred twenty-four million, four hundred twenty-three thousand, three hundred fifteen".