516686532 has 48 divisors (see below), whose sum is σ = 1278816000. Its totient is φ = 161909280.

The previous prime is 516686519. The next prime is 516686539. The reversal of 516686532 is 235686615.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (516686539) 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, 21219 + ... + 38517.

It is an arithmetic number, because the mean of its divisors is an integer number (26642000).

Almost surely, 2^516686532 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 516686532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639408000).

516686532 is an abundant number, since it is smaller than the sum of its proper divisors (762129468).

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

516686532 is a wasteful number, since it uses less digits than its factorization.

516686532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17456 (or 17454 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 516686532 is about 22730.7398031828. The cubic root of 516686532 is about 802.4334922222.

The spelling of 516686532 in words is "five hundred sixteen million, six hundred eighty-six thousand, five hundred thirty-two".