252517 has 4 divisors (see below), whose sum is σ = 263520. Its totient is φ = 241516.

The previous prime is 252509. The next prime is 252533. The reversal of 252517 is 715252.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 252517 - 2³ = 252509 is a prime.

It is a Duffinian number.

252517 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252017) 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 in 3 ways as a sum of consecutive naturals, for example, 5467 + ... + 5512.

It is an arithmetic number, because the mean of its divisors is an integer number (65880).

2²⁵²⁵¹⁷ is an apocalyptic number.

It is an amenable number.

252517 is a deficient number, since it is larger than the sum of its proper divisors (11003).

252517 is a wasteful number, since it uses less digits than its factorization.

252517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11002.

The product of its digits is 700, while the sum is 22.

The square root of 252517 is about 502.5106964036. The cubic root of 252517 is about 63.2067616811.

Adding to 252517 its reverse (715252), we get a palindrome (967769).

The spelling of 252517 in words is "two hundred fifty-two thousand, five hundred seventeen".