515630311664 has 80 divisors (see below), whose sum is σ = 1135871362080. Its totient is φ = 224788193280.

The previous prime is 515630311663. The next prime is 515630311681. The reversal of 515630311664 is 466113036515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515630311663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1138244 + ... + 1525404.

It is an arithmetic number, because the mean of its divisors is an integer number (14198392026).

Almost surely, 2^515630311664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515630311664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567935681040).

515630311664 is an abundant number, since it is smaller than the sum of its proper divisors (620241050416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

515630311664 is a wasteful number, since it uses less digits than its factorization.

515630311664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387538 (or 387532 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 515630311664 in words is "five hundred fifteen billion, six hundred thirty million, three hundred eleven thousand, six hundred sixty-four".