27641037133 has 2 divisors, whose sum is σ = 27641037134. Its totient is φ = 27641037132.

The previous prime is 27641037071. The next prime is 27641037187. The reversal of 27641037133 is 33173014672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20006122249 + 7634914884 = 141443^2 + 87378^2 .

It is a cyclic number.

It is not a de Polignac number, because 27641037133 - 2²¹ = 27638939981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27641037092 and 27641037101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27641031133) 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, 13820518566 + 13820518567.

It is an arithmetic number, because the mean of its divisors is an integer number (13820518567).

Almost surely, 2^27641037133 is an apocalyptic number.

It is an amenable number.

27641037133 is a deficient number, since it is larger than the sum of its proper divisors (1).

27641037133 is an equidigital number, since it uses as much as digits as its factorization.

27641037133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 37.

The spelling of 27641037133 in words is "twenty-seven billion, six hundred forty-one million, thirty-seven thousand, one hundred thirty-three".