26564141101 has 2 divisors, whose sum is σ = 26564141102. Its totient is φ = 26564141100.

The previous prime is 26564141099. The next prime is 26564141137. The reversal of 26564141101 is 10114146562.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26009303076 + 554838025 = 161274^2 + 23555^2 .

It is a cyclic number.

It is not a de Polignac number, because 26564141101 - 2¹ = 26564141099 is a prime.

Together with 26564141099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (26564141161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13282070550 + 13282070551.

It is an arithmetic number, because the mean of its divisors is an integer number (13282070551).

Almost surely, 2^26564141101 is an apocalyptic number.

It is an amenable number.

26564141101 is a deficient number, since it is larger than the sum of its proper divisors (1).

26564141101 is an equidigital number, since it uses as much as digits as its factorization.

26564141101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 26564141101 its reverse (10114146562), we get a palindrome (36678287663).

The spelling of 26564141101 in words is "twenty-six billion, five hundred sixty-four million, one hundred forty-one thousand, one hundred one".