513872 has 10 divisors (see below), whose sum is σ = 995658. Its totient is φ = 256928.

The previous prime is 513871. The next prime is 513881. The reversal of 513872 is 278315.

It can be written as a sum of positive squares in only one way, i.e., 287296 + 226576 = 536^2 + 476^2 .

It is a zygodrome in base 3.

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 513872.

It is not an unprimeable number, because it can be changed into a prime (513871) 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 as a sum of consecutive naturals, namely, 16043 + ... + 16074.

2⁵¹³⁸⁷² is an apocalyptic number.

It is an amenable number.

513872 is a deficient number, since it is larger than the sum of its proper divisors (481786).

513872 is a wasteful number, since it uses less digits than its factorization.

513872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32125 (or 32119 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 513872 is about 716.8486590627. The cubic root of 513872 is about 80.0973814127.

The spelling of 513872 in words is "five hundred thirteen thousand, eight hundred seventy-two".