51719 has 2 divisors, whose sum is σ = 51720. Its totient is φ = 51718.

The previous prime is 51713. The next prime is 51721. The reversal of 51719 is 91715.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 51719 - 2¹² = 47623 is a prime.

It is a super-2 number, since 2×51719² = 5349709922, which contains 22 as substring.

Together with 51721, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 51694 and 51703.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25859 + 25860.

It is an arithmetic number, because the mean of its divisors is an integer number (25860).

2⁵¹⁷¹⁹ is an apocalyptic number.

51719 is a deficient number, since it is larger than the sum of its proper divisors (1).

51719 is an equidigital number, since it uses as much as digits as its factorization.

51719 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 315, while the sum is 23.

The square root of 51719 is about 227.4181171323. The cubic root of 51719 is about 37.2577570441.

The spelling of 51719 in words is "fifty-one thousand, seven hundred nineteen".