516216909 has 32 divisors (see below), whose sum is σ = 782118400. Its totient is φ = 300231360.

The previous prime is 516216881. The next prime is 516216913. The reversal of 516216909 is 909612615.

It is not a de Polignac number, because 516216909 - 2⁹ = 516216397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516216919) 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, 600522 + ... + 601380.

It is an arithmetic number, because the mean of its divisors is an integer number (24441200).

Almost surely, 2^516216909 is an apocalyptic number.

It is an amenable number.

516216909 is a deficient number, since it is larger than the sum of its proper divisors (265901491).

516216909 is a wasteful number, since it uses less digits than its factorization.

516216909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705.

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 516216909 is about 22720.4073246938. The cubic root of 516216909 is about 802.1903045057.

The spelling of 516216909 in words is "five hundred sixteen million, two hundred sixteen thousand, nine hundred nine".