27771234111097 has 2 divisors, whose sum is σ = 27771234111098. Its totient is φ = 27771234111096.

The previous prime is 27771234111053. The next prime is 27771234111107. The reversal of 27771234111097 is 79011143217772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18869389019881 + 8901845091216 = 4343891^2 + 2983596^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27771234111097 is a prime.

It is not a weakly prime, because it can be changed into another prime (27771234111997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13885617055548 + 13885617055549.

It is an arithmetic number, because the mean of its divisors is an integer number (13885617055549).

Almost surely, 2^{27771234111097} is an apocalyptic number.

It is an amenable number.

27771234111097 is a deficient number, since it is larger than the sum of its proper divisors (1).

27771234111097 is an equidigital number, since it uses as much as digits as its factorization.

27771234111097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1037232, while the sum is 52.

The spelling of 27771234111097 in words is "twenty-seven trillion, seven hundred seventy-one billion, two hundred thirty-four million, one hundred eleven thousand, ninety-seven".