51711 has 8 divisors (see below), whose sum is σ = 75264. Its totient is φ = 31320.

The previous prime is 51691. The next prime is 51713. The reversal of 51711 is 11715.

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

It is not a de Polignac number, because 51711 - 2⁵ = 51679 is a prime.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51713) 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, 751 + ... + 816.

It is an arithmetic number, because the mean of its divisors is an integer number (9408).

2⁵¹⁷¹¹ is an apocalyptic number.

51711 is a deficient number, since it is larger than the sum of its proper divisors (23553).

51711 is a wasteful number, since it uses less digits than its factorization.

51711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581.

The product of its digits is 35, while the sum is 15.

The square root of 51711 is about 227.4005277039. The cubic root of 51711 is about 37.2558359098.

It can be divided in two parts, 517 and 11, that added together give a triangular number (528 = T₃₂).

The spelling of 51711 in words is "fifty-one thousand, seven hundred eleven".