264340420110017 has 2 divisors, whose sum is σ = 264340420110018. Its totient is φ = 264340420110016.

The previous prime is 264340420109993. The next prime is 264340420110031. The reversal of 264340420110017 is 710011024043462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212584827323521 + 51755592786496 = 14580289^2 + 7194136^2 .

It is a cyclic number.

It is not a de Polignac number, because 264340420110017 - 2¹⁸ = 264340419847873 is a prime.

It is not a weakly prime, because it can be changed into another prime (264340420110317) 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, 132170210055008 + 132170210055009.

It is an arithmetic number, because the mean of its divisors is an integer number (132170210055009).

Almost surely, 2^{264340420110017} is an apocalyptic number.

It is an amenable number.

264340420110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

264340420110017 is an equidigital number, since it uses as much as digits as its factorization.

264340420110017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 35.

Adding to 264340420110017 its reverse (710011024043462), we get a palindrome (974351444153479).

The spelling of 264340420110017 in words is "two hundred sixty-four trillion, three hundred forty billion, four hundred twenty million, one hundred ten thousand, seventeen".