518563984 has 15 divisors (see below), whose sum is σ = 1004894233. Its totient is φ = 259236448.

The previous prime is 518563973. The next prime is 518564029. The reversal of 518563984 is 489365815.

The square root of 518563984 is 22772.

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., 63680400 + 454883584 = 7980^2 + 21328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 88242 + ... + 93934.

Almost surely, 2^518563984 is an apocalyptic number.

518563984 is the 22772-nd square number.

It is an amenable number.

518563984 is a deficient number, since it is larger than the sum of its proper divisors (486330249).

518563984 is an frugal number, since it uses more digits than its factorization.

518563984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11394 (or 5695 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 49.

The cubic root of 518563984 is about 803.4042350985.

Multiplying 518563984 by its sum of digits (49), we get a square (25409635216 = 159404²).

It can be divided in two parts, 5185 and 63984, that added together give a square (69169 = 263²).

The spelling of 518563984 in words is "five hundred eighteen million, five hundred sixty-three thousand, nine hundred eighty-four".