516105664 has 28 divisors (see below), whose sum is σ = 1078052200. Its totient is φ = 244470528.

The previous prime is 516105661. The next prime is 516105713. The reversal of 516105664 is 466501615.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516105661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 210999 + ... + 213430.

Almost surely, 2^516105664 is an apocalyptic number.

It is an amenable number.

516105664 is an abundant number, since it is smaller than the sum of its proper divisors (561946536).

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

516105664 is a wasteful number, since it uses less digits than its factorization.

516105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424460 (or 424450 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 516105664 is about 22717.9590632609. The cubic root of 516105664 is about 802.1326762297.

The spelling of 516105664 in words is "five hundred sixteen million, one hundred five thousand, six hundred sixty-four".