51755 has 8 divisors (see below), whose sum is σ = 67824. Its totient is φ = 37600.

The previous prime is 51749. The next prime is 51767. The reversal of 51755 is 55715.

51755 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 51755 - 2⁶ = 51691 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51755.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51755.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (8478).

2⁵¹⁷⁵⁵ is an apocalyptic number.

51755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51755 is a deficient number, since it is larger than the sum of its proper divisors (16069).

51755 is a wasteful number, since it uses less digits than its factorization.

51755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957.

The product of its digits is 875, while the sum is 23.

The square root of 51755 is about 227.4972527307. The cubic root of 51755 is about 37.2663996974.

The spelling of 51755 in words is "fifty-one thousand, seven hundred fifty-five".