27641311031 has 2 divisors, whose sum is σ = 27641311032. Its totient is φ = 27641311030.

The previous prime is 27641311021. The next prime is 27641311037. The reversal of 27641311031 is 13011314672.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 27641311031 - 2¹⁴ = 27641294647 is a prime.

It is a super-2 number, since 2×27641311031² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27641310985 and 27641311003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27641311037) 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, 13820655515 + 13820655516.

It is an arithmetic number, because the mean of its divisors is an integer number (13820655516).

Almost surely, 2^27641311031 is an apocalyptic number.

27641311031 is a deficient number, since it is larger than the sum of its proper divisors (1).

27641311031 is an equidigital number, since it uses as much as digits as its factorization.

27641311031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 27641311031 in words is "twenty-seven billion, six hundred forty-one million, three hundred eleven thousand, thirty-one".