51852 has 24 divisors (see below), whose sum is σ = 126000. Its totient is φ = 16576.

The previous prime is 51839. The next prime is 51853. The reversal of 51852 is 25815.

It is not an unprimeable number, because it can be changed into a prime (51853) 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 7 ways as a sum of consecutive naturals, for example, 274 + ... + 422.

It is an arithmetic number, because the mean of its divisors is an integer number (5250).

2⁵¹⁸⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63000).

51852 is an abundant number, since it is smaller than the sum of its proper divisors (74148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51852 is a wasteful number, since it uses less digits than its factorization.

51852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

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

The square root of 51852 is about 227.7103423211. The cubic root of 51852 is about 37.2896669166.

It can be divided in two parts, 51 and 852, that added together give a triangular number (903 = T₄₂).

The spelling of 51852 in words is "fifty-one thousand, eight hundred fifty-two".