513712 has 20 divisors (see below), whose sum is σ = 1008616. Its totient is φ = 253440.

The previous prime is 513697. The next prime is 513719. The reversal of 513712 is 217315.

It is a self number, because there is not a number n which added to its sum of digits gives 513712.

It is not an unprimeable number, because it can be changed into a prime (513719) 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 3 ways as a sum of consecutive naturals, for example, 1387 + ... + 1717.

2⁵¹³⁷¹² is an apocalyptic number.

It is an amenable number.

513712 is a deficient number, since it is larger than the sum of its proper divisors (494904).

513712 is a wasteful number, since it uses less digits than its factorization.

513712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 430 counting only the distinct ones).

The product of its digits is 210, while the sum is 19.

The square root of 513712 is about 716.7370508073. The cubic root of 513712 is about 80.0890674672.

It can be divided in two parts, 513 and 712, that added together give a triangular number (1225 = T₄₉).

The spelling of 513712 in words is "five hundred thirteen thousand, seven hundred twelve".