52851 has 8 divisors (see below), whose sum is σ = 71680. Its totient is φ = 34632.

The previous prime is 52837. The next prime is 52859. The reversal of 52851 is 15825.

52851 is nontrivially palindromic in base 2.

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

It is not a de Polignac number, because 52851 - 2¹⁰ = 51827 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52851.

It is not an unprimeable number, because it can be changed into a prime (52859) 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, 126 + ... + 348.

It is an arithmetic number, because the mean of its divisors is an integer number (8960).

2⁵²⁸⁵¹ is an apocalyptic number.

52851 is a deficient number, since it is larger than the sum of its proper divisors (18829).

52851 is a wasteful number, since it uses less digits than its factorization.

52851 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305.

The product of its digits is 400, while the sum is 21.

The square root of 52851 is about 229.8934535823. The cubic root of 52851 is about 37.5276240904.

It can be divided in two parts, 52 and 851, that added together give a triangular number (903 = T₄₂).

The spelling of 52851 in words is "fifty-two thousand, eight hundred fifty-one".