52953 has 8 divisors (see below), whose sum is σ = 74400. Its totient is φ = 33408.

The previous prime is 52951. The next prime is 52957. The reversal of 52953 is 35925.

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

It is not a de Polignac number, because 52953 - 2¹ = 52951 is a prime.

It is a Curzon number.

52953 is a lucky number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (52951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (9300).

2⁵²⁹⁵³ is an apocalyptic number.

It is an amenable number.

52953 is a deficient number, since it is larger than the sum of its proper divisors (21447).

52953 is a wasteful number, since it uses less digits than its factorization.

52953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951.

The product of its digits is 1350, while the sum is 24.

The square root of 52953 is about 230.1151885470. The cubic root of 52953 is about 37.5517507722.

The spelling of 52953 in words is "fifty-two thousand, nine hundred fifty-three".