513265 has 4 divisors (see below), whose sum is σ = 615924. Its totient is φ = 410608.

The previous prime is 513257. The next prime is 513269. The reversal of 513265 is 562315.

It is a happy number.

513265 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 247009 + 266256 = 497^2 + 516^2 .

It is a cyclic number.

It is not a de Polignac number, because 513265 - 2³ = 513257 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513269) 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, 51322 + ... + 51331.

It is an arithmetic number, because the mean of its divisors is an integer number (153981).

2⁵¹³²⁶⁵ is an apocalyptic number.

It is an amenable number.

513265 is a deficient number, since it is larger than the sum of its proper divisors (102659).

513265 is a wasteful number, since it uses less digits than its factorization.

513265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102658.

The product of its digits is 900, while the sum is 22.

The square root of 513265 is about 716.4251531039. The cubic root of 513265 is about 80.0658312299.

The spelling of 513265 in words is "five hundred thirteen thousand, two hundred sixty-five".