516106512 has 80 divisors (see below), whose sum is σ = 1506600000. Its totient is φ = 169111296.

The previous prime is 516106469. The next prime is 516106523. The reversal of 516106512 is 215601615.

It is a happy number.

516106512 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 0 + 651 + 2 = 666.

It is a super-2 number, since 2×516106512² = 532731863457612288, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 15364 + ... + 35612.

It is an arithmetic number, because the mean of its divisors is an integer number (18832500).

Almost surely, 2^516106512 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 516106512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753300000).

516106512 is an abundant number, since it is smaller than the sum of its proper divisors (990493488).

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

516106512 is a wasteful number, since it uses less digits than its factorization.

516106512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20325 (or 20313 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 516106512 is about 22717.9777269017. The cubic root of 516106512 is about 802.1331155507.

The spelling of 516106512 in words is "five hundred sixteen million, one hundred six thousand, five hundred twelve".