516833320 has 64 divisors (see below), whose sum is σ = 1239786000. Its totient is φ = 193228800.

The previous prime is 516833293. The next prime is 516833321. The reversal of 516833320 is 23338615.

It can be written as a sum of positive squares in 8 ways, for example, as 34503876 + 482329444 = 5874^2 + 21962^2 .

It is not an unprimeable number, because it can be changed into a prime (516833321) 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, 98770 + ... + 103870.

Almost surely, 2^516833320 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 516833320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619893000).

516833320 is an abundant number, since it is smaller than the sum of its proper divisors (722952680).

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

516833320 is a wasteful number, since it uses less digits than its factorization.

516833320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5278 (or 5274 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 516833320 is about 22733.9684173265. The cubic root of 516833320 is about 802.5094741104.

The spelling of 516833320 in words is "five hundred sixteen million, eight hundred thirty-three thousand, three hundred twenty".