513297 has 10 divisors (see below), whose sum is σ = 766898. Its totient is φ = 342144.

The previous prime is 513283. The next prime is 513307. The reversal of 513297 is 792315.

It can be written as a sum of positive squares in only one way, i.e., 408321 + 104976 = 639^2 + 324^2 .

It is not a de Polignac number, because 513297 - 2⁷ = 513169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 513297.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513297.

It is not an unprimeable number, because it can be changed into a prime (513257) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3088 + ... + 3249.

2⁵¹³²⁹⁷ is an apocalyptic number.

It is an amenable number.

513297 is a deficient number, since it is larger than the sum of its proper divisors (253601).

513297 is an equidigital number, since it uses as much as digits as its factorization.

513297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6349 (or 6340 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 513297 is about 716.4474858634. The cubic root of 513297 is about 80.0674951224.

The spelling of 513297 in words is "five hundred thirteen thousand, two hundred ninety-seven".