516116610 has 80 divisors (see below), whose sum is σ = 1421719992. Its totient is φ = 134265600.

The previous prime is 516116561. The next prime is 516116633. The reversal of 516116610 is 16611615.

It can be written as a sum of positive squares in 4 ways, for example, as 353477601 + 162639009 = 18801^2 + 12753^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25440 + ... + 40980.

Almost surely, 2^516116610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516116610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710859996).

516116610 is an abundant number, since it is smaller than the sum of its proper divisors (905603382).

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

516116610 is a wasteful number, since it uses less digits than its factorization.

516116610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15601 (or 15592 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 516116610 is about 22718.1999727091. The cubic root of 516116610 is about 802.1383469562.

The spelling of 516116610 in words is "five hundred sixteen million, one hundred sixteen thousand, six hundred ten".