51713 has 2 divisors, whose sum is σ = 51714. Its totient is φ = 51712.

The previous prime is 51691. The next prime is 51719. The reversal of 51713 is 31715.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47089 + 4624 = 217^2 + 68^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51713 is a prime.

It is a Chen prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 51691 and 51700.

It is not a weakly prime, because it can be changed into another prime (51719) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25856 + 25857.

It is an arithmetic number, because the mean of its divisors is an integer number (25857).

It is a Proth number, since it is equal to 101 ⋅ 2⁹ + 1 and 101 < 2⁹.

2⁵¹⁷¹³ is an apocalyptic number.

It is an amenable number.

51713 is a deficient number, since it is larger than the sum of its proper divisors (1).

51713 is an equidigital number, since it uses as much as digits as its factorization.

51713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105, while the sum is 17.

The square root of 51713 is about 227.4049251885. The cubic root of 51713 is about 37.2563162120.

It can be divided in two parts, 51 and 713, that multiplied together give a palindrome (36363).

The spelling of 51713 in words is "fifty-one thousand, seven hundred thirteen".