51750 has 48 divisors (see below), whose sum is σ = 146016. Its totient is φ = 13200.

The previous prime is 51749. The next prime is 51767. The reversal of 51750 is 5715.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 2239 + ... + 2261.

It is an arithmetic number, because the mean of its divisors is an integer number (3042).

2⁵¹⁷⁵⁰ is an apocalyptic number.

51750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73008).

51750 is an abundant number, since it is smaller than the sum of its proper divisors (94266).

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

51750 is a wasteful number, since it uses less digits than its factorization.

51750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 51750 is about 227.4862633215. The cubic root of 51750 is about 37.2651995686.

The spelling of 51750 in words is "fifty-one thousand, seven hundred fifty".