27731660417 has 2 divisors, whose sum is σ = 27731660418. Its totient is φ = 27731660416.

The previous prime is 27731660413. The next prime is 27731660419. The reversal of 27731660417 is 71406613772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27582234241 + 149426176 = 166079^2 + 12224^2 .

It is a cyclic number.

It is not a de Polignac number, because 27731660417 - 2² = 27731660413 is a prime.

It is a super-2 number, since 2×27731660417² (a number of 22 digits) contains 22 as substring.

Together with 27731660419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (27731660413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13865830208 + 13865830209.

It is an arithmetic number, because the mean of its divisors is an integer number (13865830209).

Almost surely, 2^27731660417 is an apocalyptic number.

It is an amenable number.

27731660417 is a deficient number, since it is larger than the sum of its proper divisors (1).

27731660417 is an equidigital number, since it uses as much as digits as its factorization.

27731660417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 296352, while the sum is 44.

It can be divided in two parts, 277316 and 60417, that added together give a palindrome (337733).

The spelling of 27731660417 in words is "twenty-seven billion, seven hundred thirty-one million, six hundred sixty thousand, four hundred seventeen".