516313 has 12 divisors (see below), whose sum is σ = 617652. Its totient is φ = 430080.

The previous prime is 516293. The next prime is 516319. The reversal of 516313 is 313615.

It can be written as a sum of positive squares in 2 ways, for example, as 283024 + 233289 = 532^2 + 483^2 .

It is a de Polignac number, because none of the positive numbers 2^k-516313 is a prime.

It is a super-2 number, since 2×516313² = 533158227938, which contains 22 as substring.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (516319) 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 11 ways as a sum of consecutive naturals, for example, 1881 + ... + 2137.

It is an arithmetic number, because the mean of its divisors is an integer number (51471).

2⁵¹⁶³¹³ is an apocalyptic number.

It is an amenable number.

516313 is a deficient number, since it is larger than the sum of its proper divisors (101339).

516313 is a wasteful number, since it uses less digits than its factorization.

516313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its digits is 270, while the sum is 19.

The square root of 516313 is about 718.5492328296. The cubic root of 516313 is about 80.2240075887.

Adding to 516313 its reverse (313615), we get a palindrome (829928).

The spelling of 516313 in words is "five hundred sixteen thousand, three hundred thirteen".