27575057825857 has 2 divisors, whose sum is σ = 27575057825858. Its totient is φ = 27575057825856.

The previous prime is 27575057825827. The next prime is 27575057825933. The reversal of 27575057825857 is 75852875057572.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19354359610881 + 8220698214976 = 4399359^2 + 2867176^2 .

It is a cyclic number.

It is not a de Polignac number, because 27575057825857 - 2³⁵ = 27540698087489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27575057825857.

It is not a weakly prime, because it can be changed into another prime (27575057825827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13787528912928 + 13787528912929.

It is an arithmetic number, because the mean of its divisors is an integer number (13787528912929).

Almost surely, 2^{27575057825857} is an apocalyptic number.

It is an amenable number.

27575057825857 is a deficient number, since it is larger than the sum of its proper divisors (1).

27575057825857 is an equidigital number, since it uses as much as digits as its factorization.

27575057825857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920800000, while the sum is 73.

The spelling of 27575057825857 in words is "twenty-seven trillion, five hundred seventy-five billion, fifty-seven million, eight hundred twenty-five thousand, eight hundred fifty-seven".