27682041601 has 2 divisors, whose sum is σ = 27682041602. Its totient is φ = 27682041600.

The previous prime is 27682041589. The next prime is 27682041703. The reversal of 27682041601 is 10614028672.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27307232001 + 374809600 = 165249^2 + 19360^2 .

It is a cyclic number.

It is not a de Polignac number, because 27682041601 - 2³³ = 19092107009 is a prime.

It is not a weakly prime, because it can be changed into another prime (27680041601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13841020800 + 13841020801.

It is an arithmetic number, because the mean of its divisors is an integer number (13841020801).

Almost surely, 2^27682041601 is an apocalyptic number.

It is an amenable number.

27682041601 is a deficient number, since it is larger than the sum of its proper divisors (1).

27682041601 is an equidigital number, since it uses as much as digits as its factorization.

27682041601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 27682041601 in words is "twenty-seven billion, six hundred eighty-two million, forty-one thousand, six hundred one".