27135341041 has 2 divisors, whose sum is σ = 27135341042. Its totient is φ = 27135341040.

The previous prime is 27135340997. The next prime is 27135341063. The reversal of 27135341041 is 14014353172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19548234225 + 7587106816 = 139815^2 + 87104^2 .

It is a cyclic number.

It is not a de Polignac number, because 27135341041 - 2¹³ = 27135332849 is a prime.

It is a super-2 number, since 2×27135341041² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27135340994 and 27135341012.

It is not a weakly prime, because it can be changed into another prime (27135341141) 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, 13567670520 + 13567670521.

It is an arithmetic number, because the mean of its divisors is an integer number (13567670521).

Almost surely, 2^27135341041 is an apocalyptic number.

It is an amenable number.

27135341041 is a deficient number, since it is larger than the sum of its proper divisors (1).

27135341041 is an equidigital number, since it uses as much as digits as its factorization.

27135341041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 27135341041 in words is "twenty-seven billion, one hundred thirty-five million, three hundred forty-one thousand, forty-one".