27541267681 has 2 divisors, whose sum is σ = 27541267682. Its totient is φ = 27541267680.

The previous prime is 27541267603. The next prime is 27541267697. The reversal of 27541267681 is 18676214572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27534424225 + 6843456 = 165935^2 + 2616^2 .

It is a cyclic number.

It is not a de Polignac number, because 27541267681 - 2¹⁵ = 27541234913 is a prime.

It is a super-2 number, since 2×27541267681² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27541267081) 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, 13770633840 + 13770633841.

It is an arithmetic number, because the mean of its divisors is an integer number (13770633841).

Almost surely, 2^27541267681 is an apocalyptic number.

It is an amenable number.

27541267681 is a deficient number, since it is larger than the sum of its proper divisors (1).

27541267681 is an equidigital number, since it uses as much as digits as its factorization.

27541267681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1128960, while the sum is 49.

The spelling of 27541267681 in words is "twenty-seven billion, five hundred forty-one million, two hundred sixty-seven thousand, six hundred eighty-one".