516513672 has 80 divisors (see below), whose sum is σ = 1456218060. Its totient is φ = 171040896.

The previous prime is 516513659. The next prime is 516513677. The reversal of 516513672 is 276315615.

516513672 is a `hidden beast` number, since 516 + 5 + 136 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 495774756 + 20738916 = 22266^2 + 4554^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (516513677) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99198 + ... + 104274.

Almost surely, 2^516513672 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 516513672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728109030).

516513672 is an abundant number, since it is smaller than the sum of its proper divisors (939704388).

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

516513672 is a wasteful number, since it uses less digits than its factorization.

516513672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5252 (or 5239 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 516513672 is about 22726.9371451588. The cubic root of 516513672 is about 802.3439962278.

The spelling of 516513672 in words is "five hundred sixteen million, five hundred thirteen thousand, six hundred seventy-two".