51059 has 2 divisors, whose sum is σ = 51060. Its totient is φ = 51058.

The previous prime is 51047. The next prime is 51061. The reversal of 51059 is 95015.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 51059 - 2⁴ = 51043 is a prime.

Together with 51061, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 51059.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51059.

It is not a weakly prime, because it can be changed into another prime (51659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25529 + 25530.

It is an arithmetic number, because the mean of its divisors is an integer number (25530).

2⁵¹⁰⁵⁹ is an apocalyptic number.

51059 is a deficient number, since it is larger than the sum of its proper divisors (1).

51059 is an equidigital number, since it uses as much as digits as its factorization.

51059 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 51059 is about 225.9623862505. The cubic root of 51059 is about 37.0985926624.

Subtracting 51059 from its reverse (95015), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 51059 in words is "fifty-one thousand, fifty-nine".