515981312 has 120 divisors (see below), whose sum is σ = 1289709120. Its totient is φ = 200540160.

The previous prime is 515981273. The next prime is 515981339. The reversal of 515981312 is 213189515.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1261364 + ... + 1261772.

It is an arithmetic number, because the mean of its divisors is an integer number (10747576).

Almost surely, 2^515981312 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 515981312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644854560).

515981312 is an abundant number, since it is smaller than the sum of its proper divisors (773727808).

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

515981312 is an equidigital number, since it uses as much as digits as its factorization.

515981312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 429 counting only the distinct ones).

The product of its digits is 10800, while the sum is 35.

The square root of 515981312 is about 22715.2220328132. Note that the first 3 decimals coincide. The cubic root of 515981312 is about 802.0682483281.

The spelling of 515981312 in words is "five hundred fifteen million, nine hundred eighty-one thousand, three hundred twelve".