51583 has 4 divisors (see below), whose sum is σ = 58960. Its totient is φ = 44208.

The previous prime is 51581. The next prime is 51593. The reversal of 51583 is 38515.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 38515 = 5 ⋅7703.

It is a cyclic number.

It is not a de Polignac number, because 51583 - 2¹ = 51581 is a prime.

It is a Duffinian number.

51583 is a lucky number.

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 (51581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3678 + ... + 3691.

It is an arithmetic number, because the mean of its divisors is an integer number (14740).

2⁵¹⁵⁸³ is an apocalyptic number.

51583 is a deficient number, since it is larger than the sum of its proper divisors (7377).

51583 is an equidigital number, since it uses as much as digits as its factorization.

51583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7376.

The product of its digits is 600, while the sum is 22.

The square root of 51583 is about 227.1189115860. The cubic root of 51583 is about 37.2250707786.

The spelling of 51583 in words is "fifty-one thousand, five hundred eighty-three".