27565216829281 has 2 divisors, whose sum is σ = 27565216829282. Its totient is φ = 27565216829280.

The previous prime is 27565216829237. The next prime is 27565216829303. The reversal of 27565216829281 is 18292861256572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27442762325056 + 122454504225 = 5238584^2 + 349935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27565216829281 is a prime.

It is a super-2 number, since 2×27565216829281² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27565216889281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13782608414640 + 13782608414641.

It is an arithmetic number, because the mean of its divisors is an integer number (13782608414641).

Almost surely, 2^{27565216829281} is an apocalyptic number.

It is an amenable number.

27565216829281 is a deficient number, since it is larger than the sum of its proper divisors (1).

27565216829281 is an equidigital number, since it uses as much as digits as its factorization.

27565216829281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 58060800, while the sum is 64.

The spelling of 27565216829281 in words is "twenty-seven trillion, five hundred sixty-five billion, two hundred sixteen million, eight hundred twenty-nine thousand, two hundred eighty-one".