513332 has 12 divisors (see below), whose sum is σ = 951300. Its totient is φ = 241536.

The previous prime is 513319. The next prime is 513341. The reversal of 513332 is 233315.

It can be written as a sum of positive squares in 2 ways, for example, as 414736 + 98596 = 644^2 + 314^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 513332.

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 513332.

It is an unprimeable number.

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, 3707 + ... + 3842.

It is an arithmetic number, because the mean of its divisors is an integer number (79275).

2⁵¹³³³² is an apocalyptic number.

It is an amenable number.

513332 is a deficient number, since it is larger than the sum of its proper divisors (437968).

513332 is a wasteful number, since it uses less digits than its factorization.

513332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7570 (or 7568 counting only the distinct ones).

The product of its digits is 270, while the sum is 17.

The square root of 513332 is about 716.4719115220. The cubic root of 513332 is about 80.0693149257.

Subtracting from 513332 its sum of digits (17), we obtain a palindrome (513315).

Adding to 513332 its reverse (233315), we get a palindrome (746647).

The spelling of 513332 in words is "five hundred thirteen thousand, three hundred thirty-two".