513296 has 20 divisors (see below), whose sum is σ = 1136832. Its totient is φ = 219936.

The previous prime is 513283. The next prime is 513307. The reversal of 513296 is 692315.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513296.

It is an unprimeable number.

513296 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, 2180 + ... + 2403.

2⁵¹³²⁹⁶ is an apocalyptic number.

513296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

513296 is an abundant number, since it is smaller than the sum of its proper divisors (623536).

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

513296 is a wasteful number, since it uses less digits than its factorization.

513296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598 (or 4592 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 513296 is about 716.4467879752. The cubic root of 513296 is about 80.0674431268.

The spelling of 513296 in words is "five hundred thirteen thousand, two hundred ninety-six".