515997216 has 120 divisors (see below), whose sum is σ = 1734384960. Its totient is φ = 147422592.

The previous prime is 515997179. The next prime is 515997221. The reversal of 515997216 is 612799515.

515997216 is a `hidden beast` number, since 51 + 599 + 7 + 2 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3925 + ... + 32363.

It is an arithmetic number, because the mean of its divisors is an integer number (14453208).

Almost surely, 2^515997216 is an apocalyptic number.

515997216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515997216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867192480).

515997216 is an abundant number, since it is smaller than the sum of its proper divisors (1218387744).

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

515997216 is a wasteful number, since it uses less digits than its factorization.

515997216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28468 (or 28451 counting only the distinct ones).

The product of its digits is 170100, while the sum is 45.

The square root of 515997216 is about 22715.5721037354. The cubic root of 515997216 is about 802.0764889123.

The spelling of 515997216 in words is "five hundred fifteen million, nine hundred ninety-seven thousand, two hundred sixteen".