816516519 has 32 divisors (see below), whose sum is σ = 1341924864. Its totient is φ = 430047360.

The previous prime is 816516497. The next prime is 816516539. The reversal of 816516519 is 915615618.

816516519 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 816516519 - 2²³ = 808127911 is a prime.

It is a super-2 number, since 2×816516519² = 1333398451599754722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816516539) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222312 + ... + 225954.

It is an arithmetic number, because the mean of its divisors is an integer number (41935152).

Almost surely, 2^816516519 is an apocalyptic number.

816516519 is a deficient number, since it is larger than the sum of its proper divisors (525408345).

816516519 is a wasteful number, since it uses less digits than its factorization.

816516519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487.

The product of its digits is 64800, while the sum is 42.

The square root of 816516519 is about 28574.7531747870. The cubic root of 816516519 is about 934.6628729206.

Subtracting 816516519 from its reverse (915615618), we obtain a palindrome (99099099).

The spelling of 816516519 in words is "eight hundred sixteen million, five hundred sixteen thousand, five hundred nineteen".