27217411772321 has 2 divisors, whose sum is σ = 27217411772322. Its totient is φ = 27217411772320.

The previous prime is 27217411772281. The next prime is 27217411772333. The reversal of 27217411772321 is 12327711471272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26405610772321 + 811801000000 = 5138639^2 + 901000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27217411772321 is a prime.

It is not a weakly prime, because it can be changed into another prime (27217411772021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13608705886160 + 13608705886161.

It is an arithmetic number, because the mean of its divisors is an integer number (13608705886161).

Almost surely, 2^{27217411772321} is an apocalyptic number.

It is an amenable number.

27217411772321 is a deficient number, since it is larger than the sum of its proper divisors (1).

27217411772321 is an equidigital number, since it uses as much as digits as its factorization.

27217411772321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 460992, while the sum is 47.

The spelling of 27217411772321 in words is "twenty-seven trillion, two hundred seventeen billion, four hundred eleven million, seven hundred seventy-two thousand, three hundred twenty-one".