51329 has 2 divisors, whose sum is σ = 51330. Its totient is φ = 51328.

The previous prime is 51307. The next prime is 51341. The reversal of 51329 is 92315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49729 + 1600 = 223^2 + 40^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51329 is a prime.

It is a Chen prime.

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 51329.

It is not a weakly prime, because it can be changed into another prime (51349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25664 + 25665.

It is an arithmetic number, because the mean of its divisors is an integer number (25665).

2⁵¹³²⁹ is an apocalyptic number.

It is an amenable number.

51329 is a deficient number, since it is larger than the sum of its proper divisors (1).

51329 is an equidigital number, since it uses as much as digits as its factorization.

51329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 270, while the sum is 20.

The square root of 51329 is about 226.5590430771. The cubic root of 51329 is about 37.1638701894.

The spelling of 51329 in words is "fifty-one thousand, three hundred twenty-nine".