52753 has 4 divisors (see below), whose sum is σ = 53568. Its totient is φ = 51940.

The previous prime is 52747. The next prime is 52757. The reversal of 52753 is 35725.

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 52753 - 2⁵ = 52721 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.

52753 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (52757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 301 + ... + 442.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2⁵²⁷⁵³ is an apocalyptic number.

It is an amenable number.

52753 is a deficient number, since it is larger than the sum of its proper divisors (815).

52753 is an equidigital number, since it uses as much as digits as its factorization.

52753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814.

The product of its digits is 1050, while the sum is 22.

The square root of 52753 is about 229.6802124694. The cubic root of 52753 is about 37.5044142952.

The spelling of 52753 in words is "fifty-two thousand, seven hundred fifty-three".