513132 has 24 divisors (see below), whose sum is σ = 1218672. Its totient is φ = 168000.

The previous prime is 513131. The next prime is 513137. The reversal of 513132 is 231315.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (513131) 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 7 ways as a sum of consecutive naturals, for example, 382 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

2⁵¹³¹³² is an apocalyptic number.

It is an amenable number.

513132 is an abundant number, since it is smaller than the sum of its proper divisors (705540).

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

513132 is a wasteful number, since it uses less digits than its factorization.

513132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 767 counting only the distinct ones).

The product of its digits is 90, while the sum is 15.

The square root of 513132 is about 716.3323251117. The cubic root of 513132 is about 80.0589149356.

Adding to 513132 its reverse (231315), we get a palindrome (744447).

It can be divided in two parts, 51313 and 2, that added together give a palindrome (51315).

The spelling of 513132 in words is "five hundred thirteen thousand, one hundred thirty-two".