513372 has 24 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 169456.

The previous prime is 513371. The next prime is 513397. The reversal of 513372 is 273315.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2029 + ... + 2267.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2⁵¹³³⁷² is an apocalyptic number.

It is a pronic number, being equal to 716×717.

It is an amenable number.

513372 is an abundant number, since it is smaller than the sum of its proper divisors (696228).

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

513372 is a wasteful number, since it uses less digits than its factorization.

513372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 513372 is about 716.4998255408. The cubic root of 513372 is about 80.0713945995.

Adding to 513372 its reverse (273315), we get a palindrome (786687).

The spelling of 513372 in words is "five hundred thirteen thousand, three hundred seventy-two".