2506066568717 has 2 divisors, whose sum is σ = 2506066568718. Its totient is φ = 2506066568716.

The previous prime is 2506066568699. The next prime is 2506066568741. The reversal of 2506066568717 is 7178656606052.

2506066568717 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1658877024676 + 847189544041 = 1287974^2 + 920429^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506066568717 - 2²⁶ = 2505999459853 is a prime.

It is a super-3 number, since 3×2506066568717³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2506066568777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1253033284358 + 1253033284359.

It is an arithmetic number, because the mean of its divisors is an integer number (1253033284359).

Almost surely, 2^{2506066568717} is an apocalyptic number.

It is an amenable number.

2506066568717 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506066568717 is an equidigital number, since it uses as much as digits as its factorization.

2506066568717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25401600, while the sum is 59.

The spelling of 2506066568717 in words is "two trillion, five hundred six billion, sixty-six million, five hundred sixty-eight thousand, seven hundred seventeen".