27122700257 has 2 divisors, whose sum is σ = 27122700258. Its totient is φ = 27122700256.

The previous prime is 27122700221. The next prime is 27122700259. The reversal of 27122700257 is 75200722172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15920382976 + 11202317281 = 126176^2 + 105841^2 .

It is a cyclic number.

It is not a de Polignac number, because 27122700257 - 2²⁴ = 27105923041 is a prime.

Together with 27122700259, 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 (27122700259) 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, 13561350128 + 13561350129.

It is an arithmetic number, because the mean of its divisors is an integer number (13561350129).

Almost surely, 2^27122700257 is an apocalyptic number.

It is an amenable number.

27122700257 is a deficient number, since it is larger than the sum of its proper divisors (1).

27122700257 is an equidigital number, since it uses as much as digits as its factorization.

27122700257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27440, while the sum is 35.

The spelling of 27122700257 in words is "twenty-seven billion, one hundred twenty-two million, seven hundred thousand, two hundred fifty-seven".