515516512 has 96 divisors (see below), whose sum is σ = 1242259200. Its totient is φ = 205659648.

The previous prime is 515516489. The next prime is 515516513. The reversal of 515516512 is 215615515.

It is a super-2 number, since 2×515516512² = 531514548289292288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515516513) 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 15 ways as a sum of consecutive naturals, for example, 250078 + ... + 252130.

It is an arithmetic number, because the mean of its divisors is an integer number (12940200).

Almost surely, 2^515516512 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 515516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621129600).

515516512 is an abundant number, since it is smaller than the sum of its proper divisors (726742688).

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

515516512 is a wasteful number, since it uses less digits than its factorization.

515516512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2140 counting only the distinct ones).

The product of its digits is 7500, while the sum is 31.

The square root of 515516512 is about 22704.9887029261. The cubic root of 515516512 is about 801.8273395265.

The spelling of 515516512 in words is "five hundred fifteen million, five hundred sixteen thousand, five hundred twelve".