51839 has 2 divisors, whose sum is σ = 51840. Its totient is φ = 51838.

The previous prime is 51829. The next prime is 51853. The reversal of 51839 is 93815.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 51839 - 2¹² = 47743 is a prime.

It is a Chen prime.

It is a plaindrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51829) 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 as a sum of consecutive naturals, namely, 25919 + 25920.

It is an arithmetic number, because the mean of its divisors is an integer number (25920).

2⁵¹⁸³⁹ is an apocalyptic number.

51839 is a deficient number, since it is larger than the sum of its proper divisors (1).

51839 is an equidigital number, since it uses as much as digits as its factorization.

51839 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1080, while the sum is 26.

The square root of 51839 is about 227.6817954954. The cubic root of 51839 is about 37.2865503143.

It can be divided in two parts, 518 and 39, that multiplied together give a palindrome (20202).

The spelling of 51839 in words is "fifty-one thousand, eight hundred thirty-nine".