51777 has 12 divisors (see below), whose sum is σ = 81744. Its totient is φ = 31320.

The previous prime is 51769. The next prime is 51787. The reversal of 51777 is 77715.

It is not a de Polignac number, because 51777 - 2³ = 51769 is a prime.

51777 is a lucky number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 51777.

It is not an unprimeable number, because it can be changed into a prime (51767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (6812).

2⁵¹⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

51777 is a deficient number, since it is larger than the sum of its proper divisors (29967).

51777 is a wasteful number, since it uses less digits than its factorization.

51777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 537 counting only the distinct ones).

The product of its digits is 1715, while the sum is 27.

The square root of 51777 is about 227.5455998256. The cubic root of 51777 is about 37.2716793461.

It can be divided in two parts, 5177 and 7, that added together give a square (5184 = 72²).

The spelling of 51777 in words is "fifty-one thousand, seven hundred seventy-seven".