252753 has 8 divisors (see below), whose sum is σ = 339648. Its totient is φ = 167184.

The previous prime is 252737. The next prime is 252761. The reversal of 252753 is 357252.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 252753 - 2⁴ = 252737 is a prime.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (252713) 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 7 ways as a sum of consecutive naturals, for example, 276 + ... + 762.

It is an arithmetic number, because the mean of its divisors is an integer number (42456).

2²⁵²⁷⁵³ is an apocalyptic number.

It is an amenable number.

252753 is a deficient number, since it is larger than the sum of its proper divisors (86895).

252753 is a wasteful number, since it uses less digits than its factorization.

252753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663.

The product of its digits is 2100, while the sum is 24.

The square root of 252753 is about 502.7454624360. The cubic root of 252753 is about 63.2264463639.

The spelling of 252753 in words is "two hundred fifty-two thousand, seven hundred fifty-three".