27617404561 has 2 divisors, whose sum is σ = 27617404562. Its totient is φ = 27617404560.

The previous prime is 27617404547. The next prime is 27617404597. The reversal of 27617404561 is 16540471672.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14621404561 + 12996000000 = 120919^2 + 114000^2 .

It is a cyclic number.

It is not a de Polignac number, because 27617404561 - 2⁷ = 27617404433 is a prime.

It is not a weakly prime, because it can be changed into another prime (27617404511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13808702280 + 13808702281.

It is an arithmetic number, because the mean of its divisors is an integer number (13808702281).

Almost surely, 2^27617404561 is an apocalyptic number.

It is an amenable number.

27617404561 is a deficient number, since it is larger than the sum of its proper divisors (1).

27617404561 is an equidigital number, since it uses as much as digits as its factorization.

27617404561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 27617404561 in words is "twenty-seven billion, six hundred seventeen million, four hundred four thousand, five hundred sixty-one".