513832 has 16 divisors (see below), whose sum is σ = 1051200. Its totient is φ = 233520.

The previous prime is 513829. The next prime is 513839. The reversal of 513832 is 238315.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (513839) 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, 2832 + ... + 3007.

It is an arithmetic number, because the mean of its divisors is an integer number (65700).

2⁵¹³⁸³² is an apocalyptic number.

It is an amenable number.

513832 is an abundant number, since it is smaller than the sum of its proper divisors (537368).

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

513832 is a wasteful number, since it uses less digits than its factorization.

513832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5852 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 513832 is about 716.8207586280. The cubic root of 513832 is about 80.0953030881.

It can be divided in two parts, 51 and 3832, that added together give a palindrome (3883).

The spelling of 513832 in words is "five hundred thirteen thousand, eight hundred thirty-two".