516353313 has 16 divisors (see below), whose sum is σ = 787598336. Its totient is φ = 294768720.

The previous prime is 516353297. The next prime is 516353339. The reversal of 516353313 is 313353615.

It is not a de Polignac number, because 516353313 - 2⁴ = 516353297 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (516353363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10758 + ... + 33888.

It is an arithmetic number, because the mean of its divisors is an integer number (49224896).

Almost surely, 2^516353313 is an apocalyptic number.

It is an amenable number.

516353313 is a deficient number, since it is larger than the sum of its proper divisors (271245023).

516353313 is a wasteful number, since it uses less digits than its factorization.

516353313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24204.

The product of its digits is 12150, while the sum is 30.

The square root of 516353313 is about 22723.4089211984. The cubic root of 516353313 is about 802.2609546065.

The spelling of 516353313 in words is "five hundred sixteen million, three hundred fifty-three thousand, three hundred thirteen".