516318088 has 128 divisors (see below), whose sum is σ = 1197504000. Its totient is φ = 205470720.

The previous prime is 516318073. The next prime is 516318097. The reversal of 516318088 is 880813615.

It is a self number, because there is not a number n which added to its sum of digits gives 516318088.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2620806 + ... + 2621002.

It is an arithmetic number, because the mean of its divisors is an integer number (9355500).

Almost surely, 2^516318088 is an apocalyptic number.

516318088 is a gapful number since it is divisible by the number (58) 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 516318088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752000).

516318088 is an abundant number, since it is smaller than the sum of its proper divisors (681185912).

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

516318088 is a wasteful number, since it uses less digits than its factorization.

516318088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 516318088 is about 22722.6338262095. The cubic root of 516318088 is about 802.2427111002.

The spelling of 516318088 in words is "five hundred sixteen million, three hundred eighteen thousand, eighty-eight".