27641538217 has 2 divisors, whose sum is σ = 27641538218. Its totient is φ = 27641538216.

The previous prime is 27641538187. The next prime is 27641538233. The reversal of 27641538217 is 71283514672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27605490201 + 36048016 = 166149^2 + 6004^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27641538217 is a prime.

It is not a weakly prime, because it can be changed into another prime (27641538517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13820769108 + 13820769109.

It is an arithmetic number, because the mean of its divisors is an integer number (13820769109).

Almost surely, 2^27641538217 is an apocalyptic number.

It is an amenable number.

27641538217 is a deficient number, since it is larger than the sum of its proper divisors (1).

27641538217 is an equidigital number, since it uses as much as digits as its factorization.

27641538217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 564480, while the sum is 46.

The spelling of 27641538217 in words is "twenty-seven billion, six hundred forty-one million, five hundred thirty-eight thousand, two hundred seventeen".