516066560 has 72 divisors (see below), whose sum is σ = 1243140360. Its totient is φ = 205258752.

The previous prime is 516066539. The next prime is 516066583. The reversal of 516066560 is 65660615.

It can be written as a sum of positive squares in 4 ways, for example, as 79423744 + 436642816 = 8912^2 + 20896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 516066560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245996 + ... + 248084.

Almost surely, 2^516066560 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 516066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621570180).

516066560 is an abundant number, since it is smaller than the sum of its proper divisors (727073800).

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

516066560 is a wasteful number, since it uses less digits than its factorization.

516066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 516066560 is about 22717.0984062666. The cubic root of 516066560 is about 802.1124172074.

The spelling of 516066560 in words is "five hundred sixteen million, sixty-six thousand, five hundred sixty".