27723233056081 has 2 divisors, whose sum is σ = 27723233056082. Its totient is φ = 27723233056080.

The previous prime is 27723233056069. The next prime is 27723233056109. The reversal of 27723233056081 is 18065033232772.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15495559873600 + 12227673182481 = 3936440^2 + 3496809^2 .

It is a cyclic number.

It is not a de Polignac number, because 27723233056081 - 2¹³ = 27723233047889 is a prime.

It is a super-2 number, since 2×27723233056081² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27723233056061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13861616528040 + 13861616528041.

It is an arithmetic number, because the mean of its divisors is an integer number (13861616528041).

Almost surely, 2^{27723233056081} is an apocalyptic number.

It is an amenable number.

27723233056081 is a deficient number, since it is larger than the sum of its proper divisors (1).

27723233056081 is an equidigital number, since it uses as much as digits as its factorization.

27723233056081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 27723233056081 in words is "twenty-seven trillion, seven hundred twenty-three billion, two hundred thirty-three million, fifty-six thousand, eighty-one".