516435656 has 64 divisors (see below), whose sum is σ = 1177416000. Its totient is φ = 209295360.

The previous prime is 516435641. The next prime is 516435659. The reversal of 516435656 is 656534615.

It is not an unprimeable number, because it can be changed into a prime (516435659) 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, 19340 + ... + 37508.

It is an arithmetic number, because the mean of its divisors is an integer number (18397125).

Almost surely, 2^516435656 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 516435656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588708000).

516435656 is an abundant number, since it is smaller than the sum of its proper divisors (660980344).

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

516435656 is a wasteful number, since it uses less digits than its factorization.

516435656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18222 (or 18218 counting only the distinct ones).

The product of its digits is 324000, while the sum is 41.

The square root of 516435656 is about 22725.2207029987. The cubic root of 516435656 is about 802.3035979290.

The spelling of 516435656 in words is "five hundred sixteen million, four hundred thirty-five thousand, six hundred fifty-six".