26565105617 has 2 divisors, whose sum is σ = 26565105618. Its totient is φ = 26565105616.

The previous prime is 26565105583. The next prime is 26565105629. The reversal of 26565105617 is 71650156562.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26526962641 + 38142976 = 162871^2 + 6176^2 .

It is a cyclic number.

It is not a de Polignac number, because 26565105617 - 2¹⁰ = 26565104593 is a prime.

It is not a weakly prime, because it can be changed into another prime (26565105647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13282552808 + 13282552809.

It is an arithmetic number, because the mean of its divisors is an integer number (13282552809).

Almost surely, 2^26565105617 is an apocalyptic number.

It is an amenable number.

26565105617 is a deficient number, since it is larger than the sum of its proper divisors (1).

26565105617 is an equidigital number, since it uses as much as digits as its factorization.

26565105617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378000, while the sum is 44.

The spelling of 26565105617 in words is "twenty-six billion, five hundred sixty-five million, one hundred five thousand, six hundred seventeen".