516205488664336 has 45 divisors (see below), whose sum is σ = 1001156157169173. Its totient is φ = 257842871187840.

The previous prime is 516205488664291. The next prime is 516205488664351. The reversal of 516205488664336 is 633466884502615.

The square root of 516205488664336 is 22720156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 199234467121936 + 316971021542400 = 14115044^2 + 17803680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 116236315876 + ... + 116236320316.

Almost surely, 2^{516205488664336} is an apocalyptic number.

516205488664336 is the 22720156-th square number.

It is an amenable number.

516205488664336 is a deficient number, since it is larger than the sum of its proper divisors (484950668504837).

516205488664336 is an frugal number, since it uses more digits than its factorization.

516205488664336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11448 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 67.

The spelling of 516205488664336 in words is "five hundred sixteen trillion, two hundred five billion, four hundred eighty-eight million, six hundred sixty-four thousand, three hundred thirty-six".