515515968 has 224 divisors, whose sum is σ = 1700296320. Its totient is φ = 151787520.

The previous prime is 515515967. The next prime is 515515993. The reversal of 515515968 is 869515515.

515515968 is a `hidden beast` number, since 5 + 1 + 5 + 51 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515515967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702930 + ... + 703662.

Almost surely, 2^515515968 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 515515968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850148160).

515515968 is an abundant number, since it is smaller than the sum of its proper divisors (1184780352).

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

515515968 is a wasteful number, since it uses less digits than its factorization.

515515968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 786 counting only the distinct ones).

The product of its digits is 270000, while the sum is 45.

The square root of 515515968 is about 22704.9767231768. The cubic root of 515515968 is about 801.8270574830.

The spelling of 515515968 in words is "five hundred fifteen million, five hundred fifteen thousand, nine hundred sixty-eight".