516213 has 10 divisors (see below), whose sum is σ = 771254. Its totient is φ = 344088.

The previous prime is 516209. The next prime is 516223. The reversal of 516213 is 312615.

Added to its reverse (312615) it gives a triangular number (828828 = T₁₂₈₇).

It can be written as a sum of positive squares in only one way, i.e., 492804 + 23409 = 702^2 + 153^2 .

It is not a de Polignac number, because 516213 - 2² = 516209 is a prime.

It is a super-2 number, since 2×516213² = 532951722738, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516213.

It is not an unprimeable number, because it can be changed into a prime (516223) 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 9 ways as a sum of consecutive naturals, for example, 3106 + ... + 3267.

2⁵¹⁶²¹³ is an apocalyptic number.

It is an amenable number.

516213 is a deficient number, since it is larger than the sum of its proper divisors (255041).

516213 is an equidigital number, since it uses as much as digits as its factorization.

516213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6385 (or 6376 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 516213 is about 718.4796448056. The cubic root of 516213 is about 80.2188279666.

Adding to 516213 its reverse (312615), we get a palindrome (828828).

It can be divided in two parts, 516 and 213, that added together give a 6-th power (729 = 3⁶).

The spelling of 516213 in words is "five hundred sixteen thousand, two hundred thirteen".