27583080017 has 2 divisors, whose sum is σ = 27583080018. Its totient is φ = 27583080016.

The previous prime is 27583079971. The next prime is 27583080047. The reversal of 27583080017 is 71008038572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20662337536 + 6920742481 = 143744^2 + 83191^2 .

It is a cyclic number.

It is not a de Polignac number, because 27583080017 - 2⁸ = 27583079761 is a prime.

It is not a weakly prime, because it can be changed into another prime (27583080047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13791540008 + 13791540009.

It is an arithmetic number, because the mean of its divisors is an integer number (13791540009).

Almost surely, 2^27583080017 is an apocalyptic number.

It is an amenable number.

27583080017 is a deficient number, since it is larger than the sum of its proper divisors (1).

27583080017 is an equidigital number, since it uses as much as digits as its factorization.

27583080017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 27583080017 in words is "twenty-seven billion, five hundred eighty-three million, eighty thousand, seventeen".