2505717723617 has 2 divisors, whose sum is σ = 2505717723618. Its totient is φ = 2505717723616.

The previous prime is 2505717723503. The next prime is 2505717723631. The reversal of 2505717723617 is 7163277175052.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1397984628496 + 1107733095121 = 1182364^2 + 1052489^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505717723617 - 2¹⁸ = 2505717461473 is a prime.

It is not a weakly prime, because it can be changed into another prime (2505717723017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252858861808 + 1252858861809.

It is an arithmetic number, because the mean of its divisors is an integer number (1252858861809).

Almost surely, 2^{2505717723617} is an apocalyptic number.

It is an amenable number.

2505717723617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505717723617 is an equidigital number, since it uses as much as digits as its factorization.

2505717723617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4321800, while the sum is 53.

The spelling of 2505717723617 in words is "two trillion, five hundred five billion, seven hundred seventeen million, seven hundred twenty-three thousand, six hundred seventeen".