51517 has 2 divisors, whose sum is σ = 51518. Its totient is φ = 51516.

The previous prime is 51511. The next prime is 51521. The reversal of 51517 is 71515.

51517 is nontrivially palindromic in base 6.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 441 = 226^2 + 21^2 .

It is a cyclic number.

It is not a de Polignac number, because 51517 - 2¹⁵ = 18749 is a prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 51494 and 51503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25758 + 25759.

It is an arithmetic number, because the mean of its divisors is an integer number (25759).

2⁵¹⁵¹⁷ is an apocalyptic number.

It is an amenable number.

51517 is a deficient number, since it is larger than the sum of its proper divisors (1).

51517 is an equidigital number, since it uses as much as digits as its factorization.

51517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 175, while the sum is 19.

The square root of 51517 is about 226.9735667429. The cubic root of 51517 is about 37.2091876177.

The spelling of 51517 in words is "fifty-one thousand, five hundred seventeen".