516809 has 8 divisors (see below), whose sum is σ = 544320. Its totient is φ = 490000.

The previous prime is 516793. The next prime is 516811. The reversal of 516809 is 908615.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 516809 - 2⁴ = 516793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516809.

It is not an unprimeable number, because it can be changed into a prime (516829) by changing a digit.

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, 1934 + ... + 2184.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

2⁵¹⁶⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

516809 is a deficient number, since it is larger than the sum of its proper divisors (27511).

516809 is a wasteful number, since it uses less digits than its factorization.

516809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 516809 is about 718.8942898647. The cubic root of 516809 is about 80.2496886341.

The spelling of 516809 in words is "five hundred sixteen thousand, eight hundred nine".