27800017313 has 2 divisors, whose sum is σ = 27800017314. Its totient is φ = 27800017312.

The previous prime is 27800017199. The next prime is 27800017331. The reversal of 27800017313 is 31371000872.

Together with next prime (27800017331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27731574784 + 68442529 = 166528^2 + 8273^2 .

It is a cyclic number.

It is not a de Polignac number, because 27800017313 - 2²² = 27795823009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27800017313.

It is not a weakly prime, because it can be changed into another prime (27800017393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13900008656 + 13900008657.

It is an arithmetic number, because the mean of its divisors is an integer number (13900008657).

Almost surely, 2^27800017313 is an apocalyptic number.

It is an amenable number.

27800017313 is a deficient number, since it is larger than the sum of its proper divisors (1).

27800017313 is an equidigital number, since it uses as much as digits as its factorization.

27800017313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 27800017313 in words is "twenty-seven billion, eight hundred million, seventeen thousand, three hundred thirteen".