2005010317 has 2 divisors, whose sum is σ = 2005010318. Its totient is φ = 2005010316.

The previous prime is 2005010297. The next prime is 2005010327. The reversal of 2005010317 is 7130105002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1772325801 + 232684516 = 42099^2 + 15254^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005010317 - 2¹⁵ = 2004977549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005010294 and 2005010303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005010327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002505158 + 1002505159.

It is an arithmetic number, because the mean of its divisors is an integer number (1002505159).

Almost surely, 2^2005010317 is an apocalyptic number.

It is an amenable number.

2005010317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005010317 is an equidigital number, since it uses as much as digits as its factorization.

2005010317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 2005010317 is about 44777.3415579800. The cubic root of 2005010317 is about 1260.9722731984.

Adding to 2005010317 its reverse (7130105002), we get a palindrome (9135115319).

The spelling of 2005010317 in words is "two billion, five million, ten thousand, three hundred seventeen".