27587516617 has 2 divisors, whose sum is σ = 27587516618. Its totient is φ = 27587516616.

The previous prime is 27587516611. The next prime is 27587516657. The reversal of 27587516617 is 71661578572.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26258257936 + 1329258681 = 162044^2 + 36459^2 .

It is a cyclic number.

It is not a de Polignac number, because 27587516617 - 2²³ = 27579128009 is a prime.

It is a super-2 number, since 2×27587516617² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27587516611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13793758308 + 13793758309.

It is an arithmetic number, because the mean of its divisors is an integer number (13793758309).

Almost surely, 2^27587516617 is an apocalyptic number.

It is an amenable number.

27587516617 is a deficient number, since it is larger than the sum of its proper divisors (1).

27587516617 is an equidigital number, since it uses as much as digits as its factorization.

27587516617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4939200, while the sum is 55.

The spelling of 27587516617 in words is "twenty-seven billion, five hundred eighty-seven million, five hundred sixteen thousand, six hundred seventeen".