252513 has 6 divisors (see below), whose sum is σ = 364754. Its totient is φ = 168336.

The previous prime is 252509. The next prime is 252533. The reversal of 252513 is 315252.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 219024 + 33489 = 468^2 + 183^2 .

It is not a de Polignac number, because 252513 - 2² = 252509 is a prime.

It is a Duffinian number.

It is a Curzon number.

252513 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (252533) 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, 14020 + ... + 14037.

2²⁵²⁵¹³ is an apocalyptic number.

It is an amenable number.

252513 is a deficient number, since it is larger than the sum of its proper divisors (112241).

252513 is a wasteful number, since it uses less digits than its factorization.

252513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28063 (or 28060 counting only the distinct ones).

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

The square root of 252513 is about 502.5067163730. The cubic root of 252513 is about 63.2064279367.

Adding to 252513 its reverse (315252), we get a palindrome (567765).

The spelling of 252513 in words is "two hundred fifty-two thousand, five hundred thirteen".