51756 has 24 divisors (see below), whose sum is σ = 127680. Its totient is φ = 16272.

The previous prime is 51749. The next prime is 51767. The reversal of 51756 is 65715.

It is an Ulam number.

It is an unprimeable number.

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, 115 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁵¹⁷⁵⁶ is an apocalyptic number.

It is a pronic number, being equal to 227×228.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63840).

51756 is an abundant number, since it is smaller than the sum of its proper divisors (75924).

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

51756 is a wasteful number, since it uses less digits than its factorization.

51756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its digits is 1050, while the sum is 24.

The square root of 51756 is about 227.4994505488. The cubic root of 51756 is about 37.2666397139.

The spelling of 51756 in words is "fifty-one thousand, seven hundred fifty-six".