11582766476137 has 2 divisors, whose sum is σ = 11582766476138. Its totient is φ = 11582766476136.

The previous prime is 11582766476111. The next prime is 11582766476147. The reversal of 11582766476137 is 73167466728511.

It is a happy number.

11582766476137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6403814891776 + 5178951584361 = 2530576^2 + 2275731^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11582766476137 is a prime.

It is not a weakly prime, because it can be changed into another prime (11582766476147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5791383238068 + 5791383238069.

It is an arithmetic number, because the mean of its divisors is an integer number (5791383238069).

Almost surely, 2^{11582766476137} is an apocalyptic number.

It is an amenable number.

11582766476137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11582766476137 is an equidigital number, since it uses as much as digits as its factorization.

11582766476137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 71124480, while the sum is 64.

The spelling of 11582766476137 in words is "eleven trillion, five hundred eighty-two billion, seven hundred sixty-six million, four hundred seventy-six thousand, one hundred thirty-seven".