27731332241 has 2 divisors, whose sum is σ = 27731332242. Its totient is φ = 27731332240.

The previous prime is 27731332217. The next prime is 27731332243. The reversal of 27731332241 is 14223313772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17723330641 + 10008001600 = 133129^2 + 100040^2 .

It is a cyclic number.

It is not a de Polignac number, because 27731332241 - 2⁶ = 27731332177 is a prime.

It is a Sophie Germain prime.

Together with 27731332243, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (27731332243) 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, 13865666120 + 13865666121.

It is an arithmetic number, because the mean of its divisors is an integer number (13865666121).

Almost surely, 2^27731332241 is an apocalyptic number.

It is an amenable number.

27731332241 is a deficient number, since it is larger than the sum of its proper divisors (1).

27731332241 is an equidigital number, since it uses as much as digits as its factorization.

27731332241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 35.

The spelling of 27731332241 in words is "twenty-seven billion, seven hundred thirty-one million, three hundred thirty-two thousand, two hundred forty-one".