513232 has 10 divisors (see below), whose sum is σ = 994418. Its totient is φ = 256608.

The previous prime is 513203. The next prime is 513239. The reversal of 513232 is 232315.

It can be written as a sum of positive squares in only one way, i.e., 512656 + 576 = 716^2 + 24^2 .

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 32077 = 513232 / (5 + 1 + 3 + 2 + 3 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16023 + ... + 16054.

2⁵¹³²³² is an apocalyptic number.

It is an amenable number.

513232 is a deficient number, since it is larger than the sum of its proper divisors (481186).

513232 is a wasteful number, since it uses less digits than its factorization.

513232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32085 (or 32079 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 513232 is about 716.4021217166. The cubic root of 513232 is about 80.0641152683.

Adding to 513232 its reverse (232315), we get a palindrome (745547).

The spelling of 513232 in words is "five hundred thirteen thousand, two hundred thirty-two".