225513 has 6 divisors (see below), whose sum is σ = 325754. Its totient is φ = 150336.

The previous prime is 225509. The next prime is 225523. The reversal of 225513 is 315522.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 166464 + 59049 = 408^2 + 243^2 .

It is not a de Polignac number, because 225513 - 2² = 225509 is a prime.

It is a super-2 number, since 2×225513² = 101712226338, which contains 22 as substring.

It is a Duffinian number.

225513 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (225503) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12520 + ... + 12537.

2²²⁵⁵¹³ is an apocalyptic number.

It is an amenable number.

225513 is a deficient number, since it is larger than the sum of its proper divisors (100241).

225513 is a wasteful number, since it uses less digits than its factorization.

225513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25063 (or 25060 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 225513 is about 474.8820906288. The cubic root of 225513 is about 60.8682096045.

Subtracting 225513 from its reverse (315522), we obtain a palindrome (90009).

The spelling of 225513 in words is "two hundred twenty-five thousand, five hundred thirteen".