513316 has 12 divisors (see below), whose sum is σ = 904540. Its totient is φ = 254880.

The previous prime is 513313. The next prime is 513319. The reversal of 513316 is 613315.

It is an interprime number because it is at equal distance from previous prime (513313) and next prime (513319).

It can be written as a sum of positive squares in 2 ways, for example, as 28900 + 484416 = 170^2 + 696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 513293 and 513302.

It is not an unprimeable number, because it can be changed into a prime (513311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 370 + ... + 1078.

2⁵¹³³¹⁶ is an apocalyptic number.

It is an amenable number.

513316 is a deficient number, since it is larger than the sum of its proper divisors (391224).

513316 is a wasteful number, since it uses less digits than its factorization.

513316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 892 counting only the distinct ones).

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

The square root of 513316 is about 716.4607456100. The cubic root of 513316 is about 80.0684830259.

Subtracting 513316 from its reverse (613315), we obtain a palindrome (99999).

It can be divided in two parts, 5133 and 16, that multiplied together give a palindrome (82128).

The spelling of 513316 in words is "five hundred thirteen thousand, three hundred sixteen".