513272 has 16 divisors (see below), whose sum is σ = 975240. Its totient is φ = 253216.

The previous prime is 513269. The next prime is 513277. The reversal of 513272 is 272315.

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 513272.

It is not an unprimeable number, because it can be changed into a prime (513277) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 278 + ... + 1050.

2⁵¹³²⁷² is an apocalyptic number.

It is an amenable number.

513272 is a deficient number, since it is larger than the sum of its proper divisors (461968).

513272 is a wasteful number, since it uses less digits than its factorization.

513272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 858 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 513272 is about 716.4300384546. The cubic root of 513272 is about 80.0661952123.

Adding to 513272 its reverse (272315), we get a palindrome (785587).

The spelling of 513272 in words is "five hundred thirteen thousand, two hundred seventy-two".