12771522106037 has 2 divisors, whose sum is σ = 12771522106038. Its totient is φ = 12771522106036.

The previous prime is 12771522106027. The next prime is 12771522106127. The reversal of 12771522106037 is 73060122517721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11202951220561 + 1568570885476 = 3347081^2 + 1252426^2 .

It is an emirp because it is prime and its reverse (73060122517721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12771522106037 - 2⁶ = 12771522105973 is a prime.

It is a super-2 number, since 2×12771522106037² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12771522106027) 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, 6385761053018 + 6385761053019.

It is an arithmetic number, because the mean of its divisors is an integer number (6385761053019).

Almost surely, 2^{12771522106037} is an apocalyptic number.

It is an amenable number.

12771522106037 is a deficient number, since it is larger than the sum of its proper divisors (1).

12771522106037 is an equidigital number, since it uses as much as digits as its factorization.

12771522106037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 246960, while the sum is 44.

The spelling of 12771522106037 in words is "twelve trillion, seven hundred seventy-one billion, five hundred twenty-two million, one hundred six thousand, thirty-seven".