26957103264017 has 2 divisors, whose sum is σ = 26957103264018. Its totient is φ = 26957103264016.

The previous prime is 26957103263953. The next prime is 26957103264089. The reversal of 26957103264017 is 71046230175962.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17172744288001 + 9784358976016 = 4144001^2 + 3127996^2 .

It is a cyclic number.

It is not a de Polignac number, because 26957103264017 - 2⁶ = 26957103263953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26957103264017.

It is not a weakly prime, because it can be changed into another prime (26957103264097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13478551632008 + 13478551632009.

It is an arithmetic number, because the mean of its divisors is an integer number (13478551632009).

Almost surely, 2^{26957103264017} is an apocalyptic number.

It is an amenable number.

26957103264017 is a deficient number, since it is larger than the sum of its proper divisors (1).

26957103264017 is an equidigital number, since it uses as much as digits as its factorization.

26957103264017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3810240, while the sum is 53.

The spelling of 26957103264017 in words is "twenty-six trillion, nine hundred fifty-seven billion, one hundred three million, two hundred sixty-four thousand, seventeen".