516565632 has 128 divisors (see below), whose sum is σ = 1548849600. Its totient is φ = 151101440.

The previous prime is 516565607. The next prime is 516565633. The reversal of 516565632 is 236565615.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516565633) 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, 120388 + ... + 124604.

Almost surely, 2^516565632 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 516565632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774424800).

516565632 is an abundant number, since it is smaller than the sum of its proper divisors (1032283968).

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

516565632 is a wasteful number, since it uses less digits than its factorization.

516565632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4262 counting only the distinct ones).

The product of its digits is 162000, while the sum is 39.

The square root of 516565632 is about 22728.0802532902. The cubic root of 516565632 is about 802.3708999340.

The spelling of 516565632 in words is "five hundred sixteen million, five hundred sixty-five thousand, six hundred thirty-two".