25205663012017 has 2 divisors, whose sum is σ = 25205663012018. Its totient is φ = 25205663012016.

The previous prime is 25205663011999. The next prime is 25205663012059. The reversal of 25205663012017 is 71021036650252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22221645152256 + 2984017859761 = 4713984^2 + 1727431^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-25205663012017 is a prime.

It is not a weakly prime, because it can be changed into another prime (25205663012077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12602831506008 + 12602831506009.

It is an arithmetic number, because the mean of its divisors is an integer number (12602831506009).

Almost surely, 2^{25205663012017} is an apocalyptic number.

It is an amenable number.

25205663012017 is a deficient number, since it is larger than the sum of its proper divisors (1).

25205663012017 is an equidigital number, since it uses as much as digits as its factorization.

25205663012017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 40.

Adding to 25205663012017 its reverse (71021036650252), we get a palindrome (96226699662269).

The spelling of 25205663012017 in words is "twenty-five trillion, two hundred five billion, six hundred sixty-three million, twelve thousand, seventeen".