513696 has 24 divisors (see below), whose sum is σ = 1348704. Its totient is φ = 171200.

The previous prime is 513691. The next prime is 513697. The reversal of 513696 is 696315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (513691) by changing a digit.

513696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2580 + ... + 2771.

It is an arithmetic number, because the mean of its divisors is an integer number (56196).

2⁵¹³⁶⁹⁶ is an apocalyptic number.

It is an amenable number.

513696 is an abundant number, since it is smaller than the sum of its proper divisors (835008).

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

513696 is a wasteful number, since it uses less digits than its factorization.

513696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 5356 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 513696 is about 716.7258890259. The cubic root of 513696 is about 80.0882359777.

The spelling of 513696 in words is "five hundred thirteen thousand, six hundred ninety-six".