27835743607981 has 2 divisors, whose sum is σ = 27835743607982. Its totient is φ = 27835743607980.

The previous prime is 27835743607979. The next prime is 27835743608077. The reversal of 27835743607981 is 18970634753872.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23707735545481 + 4128008062500 = 4869059^2 + 2031750^2 .

It is a cyclic number.

It is not a de Polignac number, because 27835743607981 - 2¹ = 27835743607979 is a prime.

It is a super-2 number, since 2×27835743607981² (a number of 28 digits) contains 22 as substring.

Together with 27835743607979, 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 27835743607981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27835743607781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13917871803990 + 13917871803991.

It is an arithmetic number, because the mean of its divisors is an integer number (13917871803991).

It is a 1-persistent number, because it is pandigital, but 2⋅27835743607981 = 55671487215962 is not.

Almost surely, 2^{27835743607981} is an apocalyptic number.

It is an amenable number.

27835743607981 is a deficient number, since it is larger than the sum of its proper divisors (1).

27835743607981 is an equidigital number, since it uses as much as digits as its factorization.

27835743607981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 426746880, while the sum is 70.

The spelling of 27835743607981 in words is "twenty-seven trillion, eight hundred thirty-five billion, seven hundred forty-three million, six hundred seven thousand, nine hundred eighty-one".