51589 has 4 divisors (see below), whose sum is σ = 53856. Its totient is φ = 49324.

The previous prime is 51581. The next prime is 51593. The reversal of 51589 is 98515.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 51589 - 2³ = 51581 is a prime.

It is a super-2 number, since 2×51589² = 5322849842, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a congruent number.

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

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 3 ways as a sum of consecutive naturals, for example, 1099 + ... + 1144.

It is an arithmetic number, because the mean of its divisors is an integer number (13464).

2⁵¹⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

51589 is a deficient number, since it is larger than the sum of its proper divisors (2267).

51589 is a wasteful number, since it uses less digits than its factorization.

51589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266.

The product of its digits is 1800, while the sum is 28.

The square root of 51589 is about 227.1321201416. The cubic root of 51589 is about 37.2265140303.

The spelling of 51589 in words is "fifty-one thousand, five hundred eighty-nine".