27579459617 has 2 divisors, whose sum is σ = 27579459618. Its totient is φ = 27579459616.

The previous prime is 27579459599. The next prime is 27579459619. The reversal of 27579459617 is 71695497572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22140249616 + 5439210001 = 148796^2 + 73751^2 .

It is a cyclic number.

It is not a de Polignac number, because 27579459617 - 2²⁶ = 27512350753 is a prime.

Together with 27579459619, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27579459617.

It is not a weakly prime, because it can be changed into another prime (27579459619) 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, 13789729808 + 13789729809.

It is an arithmetic number, because the mean of its divisors is an integer number (13789729809).

Almost surely, 2^27579459617 is an apocalyptic number.

It is an amenable number.

27579459617 is a deficient number, since it is larger than the sum of its proper divisors (1).

27579459617 is an equidigital number, since it uses as much as digits as its factorization.

27579459617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 33339600, while the sum is 62.

The spelling of 27579459617 in words is "twenty-seven billion, five hundred seventy-nine million, four hundred fifty-nine thousand, six hundred seventeen".