513516 has 12 divisors (see below), whose sum is σ = 1198232. Its totient is φ = 171168.

The previous prime is 513511. The next prime is 513529. The reversal of 513516 is 615315.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 513492 and 513501.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513516.

It is not an unprimeable number, because it can be changed into a prime (513511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21385 + ... + 21408.

2⁵¹³⁵¹⁶ is an apocalyptic number.

It is an amenable number.

513516 is an abundant number, since it is smaller than the sum of its proper divisors (684716).

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

513516 is a wasteful number, since it uses less digits than its factorization.

513516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42800 (or 42798 counting only the distinct ones).

The product of its digits is 450, while the sum is 21.

The square root of 513516 is about 716.6003070052. The cubic root of 513516 is about 80.0788805310.

It can be divided in two parts, 5135 and 16, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 513516 in words is "five hundred thirteen thousand, five hundred sixteen".