51585 has 16 divisors (see below), whose sum is σ = 87360. Its totient is φ = 25920.

The previous prime is 51581. The next prime is 51593. The reversal of 51585 is 58515.

It is not a de Polignac number, because 51585 - 2² = 51581 is a prime.

It is a super-2 number, since 2×51585² = 5322024450, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51585.

It is not an unprimeable number, because it can be changed into a prime (51581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2⁵¹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

51585 is a deficient number, since it is larger than the sum of its proper divisors (35775).

51585 is a wasteful number, since it uses less digits than its factorization.

51585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208.

The product of its digits is 1000, while the sum is 24.

The square root of 51585 is about 227.1233145232. The cubic root of 51585 is about 37.2255518749.

It can be divided in two parts, 51 and 585, that added together give a palindrome (636).

The spelling of 51585 in words is "fifty-one thousand, five hundred eighty-five".