27832345526981 has 2 divisors, whose sum is σ = 27832345526982. Its totient is φ = 27832345526980.

The previous prime is 27832345526861. The next prime is 27832345526983. The reversal of 27832345526981 is 18962554323872.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15434165105956 + 12398180421025 = 3928634^2 + 3521105^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27832345526981 is a prime.

It is a super-2 number, since 2×27832345526981² (a number of 28 digits) contains 22 as substring.

Together with 27832345526983, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27832345526983) 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, 13916172763490 + 13916172763491.

It is an arithmetic number, because the mean of its divisors is an integer number (13916172763491).

Almost surely, 2^{27832345526981} is an apocalyptic number.

It is an amenable number.

27832345526981 is a deficient number, since it is larger than the sum of its proper divisors (1).

27832345526981 is an equidigital number, since it uses as much as digits as its factorization.

27832345526981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 174182400, while the sum is 65.

The spelling of 27832345526981 in words is "twenty-seven trillion, eight hundred thirty-two billion, three hundred forty-five million, five hundred twenty-six thousand, nine hundred eighty-one".