516221316 has 72 divisors (see below), whose sum is σ = 1449272160. Its totient is φ = 158831712.

The previous prime is 516221309. The next prime is 516221327. The reversal of 516221316 is 613122615.

516221316 is a `hidden beast` number, since 5 + 1 + 622 + 1 + 31 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 516221316.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4111 + ... + 32393.

It is an arithmetic number, because the mean of its divisors is an integer number (20128780).

Almost surely, 2^516221316 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 516221316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724636080).

516221316 is an abundant number, since it is smaller than the sum of its proper divisors (933050844).

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

516221316 is a wasteful number, since it uses less digits than its factorization.

516221316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28322 (or 28301 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 516221316 is about 22720.5043077833. The cubic root of 516221316 is about 802.1925872946.

The spelling of 516221316 in words is "five hundred sixteen million, two hundred twenty-one thousand, three hundred sixteen".