513422444224315 has 32 divisors (see below), whose sum is σ = 617720666112000. Its totient is φ = 409663857875328.

The previous prime is 513422444224303. The next prime is 513422444224331.

513422444224315 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 513422444224315 - 2²¹ = 513422442127163 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11299135366 + ... + 11299180804.

It is an arithmetic number, because the mean of its divisors is an integer number (19303770816000).

Almost surely, 2^{513422444224315} is an apocalyptic number.

513422444224315 is a deficient number, since it is larger than the sum of its proper divisors (104298221887685).

513422444224315 is a wasteful number, since it uses less digits than its factorization.

513422444224315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50059.

The product of its digits is 3686400, while the sum is 46.

The spelling of 513422444224315 in words is "five hundred thirteen trillion, four hundred twenty-two billion, four hundred forty-four million, two hundred twenty-four thousand, three hundred fifteen".