516516616 has 64 divisors (see below), whose sum is σ = 1210567680. Its totient is φ = 200719680.

The previous prime is 516516613. The next prime is 516516619. The reversal of 516516616 is 616615615.

It is an interprime number because it is at equal distance from previous prime (516516613) and next prime (516516619).

It is not an unprimeable number, because it can be changed into a prime (516516613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309015 + ... + 310681.

It is an arithmetic number, because the mean of its divisors is an integer number (18915120).

Almost surely, 2^516516616 is an apocalyptic number.

516516616 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 516516616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605283840).

516516616 is an abundant number, since it is smaller than the sum of its proper divisors (694051064).

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

516516616 is a wasteful number, since it uses less digits than its factorization.

516516616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2190 counting only the distinct ones).

The product of its digits is 32400, while the sum is 37.

The square root of 516516616 is about 22727.0019140229. The cubic root of 516516616 is about 802.3455206123.

The spelling of 516516616 in words is "five hundred sixteen million, five hundred sixteen thousand, six hundred sixteen".