51959 has 4 divisors (see below), whose sum is σ = 52416. Its totient is φ = 51504.

The previous prime is 51949. The next prime is 51971. The reversal of 51959 is 95915.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 95915 = 5 ⋅19183.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51929) 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, 107 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2⁵¹⁹⁵⁹ is an apocalyptic number.

51959 is a deficient number, since it is larger than the sum of its proper divisors (457).

51959 is a wasteful number, since it uses less digits than its factorization.

51959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456.

The product of its digits is 2025, while the sum is 29.

The square root of 51959 is about 227.9451688455. The cubic root of 51959 is about 37.3152991839.

Subtracting 51959 from its reverse (95915), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 51959 in words is "fifty-one thousand, nine hundred fifty-nine".