513792 has 54 divisors (see below), whose sum is σ = 1488032. Its totient is φ = 170496.

The previous prime is 513781. The next prime is 513829. The reversal of 513792 is 297315.

It is a congruent number.

It is an unprimeable number.

513792 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 5 ways as a sum of consecutive naturals, for example, 2193 + ... + 2415.

2⁵¹³⁷⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744016).

513792 is an abundant number, since it is smaller than the sum of its proper divisors (974240).

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

513792 is a wasteful number, since it uses less digits than its factorization.

513792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 513792 is about 716.7928571073. The cubic root of 513792 is about 80.0932246557.

The spelling of 513792 in words is "five hundred thirteen thousand, seven hundred ninety-two".