27901306512853 has 2 divisors, whose sum is σ = 27901306512854. Its totient is φ = 27901306512852.

The previous prime is 27901306512851. The next prime is 27901306512917. The reversal of 27901306512853 is 35821560310972.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27347021795844 + 554284717009 = 5229438^2 + 744503^2 .

It is a cyclic number.

It is not a de Polignac number, because 27901306512853 - 2¹ = 27901306512851 is a prime.

Together with 27901306512851, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 27901306512853.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27901306512851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13950653256426 + 13950653256427.

It is an arithmetic number, because the mean of its divisors is an integer number (13950653256427).

Almost surely, 2^{27901306512853} is an apocalyptic number.

It is an amenable number.

27901306512853 is a deficient number, since it is larger than the sum of its proper divisors (1).

27901306512853 is an equidigital number, since it uses as much as digits as its factorization.

27901306512853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 27901306512853 in words is "twenty-seven trillion, nine hundred one billion, three hundred six million, five hundred twelve thousand, eight hundred fifty-three".