• 516 can be written using four 4's:

See also 113.

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516 has 12 divisors (see below), whose sum is σ = 1232. Its totient is φ = 168.

The previous prime is 509. The next prime is 521. The reversal of 516 is 615.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 43 = 516 / (5 + 1 + 6).

It is a plaindrome in base 7, base 14 and base 15.

It is a nialpdrome in base 6 and base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516.

It is an unprimeable number.

516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10 + ... + 33.

It is an amenable number.

516 is an abundant number, since it is smaller than the sum of its proper divisors (716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616).

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

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

The sum of its prime factors is 50 (or 48 counting only the distinct ones).

The product of its digits is 30, while the sum is 12.

The square root of 516 is about 22.7156333832. The cubic root of 516 is about 8.0207793141.

Adding to 516 its sum of digits (12), we get a triangular number (528 = T₃₂).

Subtracting 516 from its reverse (615), we obtain a palindrome (99).

It can be divided in two parts, 5 and 16, that added together give a triangular number (21 = T₆).

The spelling of 516 in words is "five hundred sixteen", and thus it is an aban number and an oban number.