51939 has 12 divisors (see below), whose sum is σ = 78000. Its totient is φ = 33264.

The previous prime is 51929. The next prime is 51941. The reversal of 51939 is 93915.

51939 = T₁₄ + T₁₅ + ... + T₆₇.

It is not a de Polignac number, because 51939 - 2⁵ = 51907 is a prime.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (51929) 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, 162 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (6500).

2⁵¹⁹³⁹ is an apocalyptic number.

51939 is a deficient number, since it is larger than the sum of its proper divisors (26061).

51939 is a wasteful number, since it uses less digits than its factorization.

51939 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

The product of its digits is 1215, while the sum is 27.

The square root of 51939 is about 227.9012944237. The cubic root of 51939 is about 37.3105107817.

It can be divided in two parts, 51 and 939, that added together give a triangular number (990 = T₄₄).

The spelling of 51939 in words is "fifty-one thousand, nine hundred thirty-nine".