27135361301 has 2 divisors, whose sum is σ = 27135361302. Its totient is φ = 27135361300.

The previous prime is 27135361283. The next prime is 27135361303. The reversal of 27135361301 is 10316353172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15326192401 + 11809168900 = 123799^2 + 108670^2 .

It is a cyclic number.

It is not a de Polignac number, because 27135361301 - 2²⁶ = 27068252437 is a prime.

It is a Sophie Germain prime.

Together with 27135361303, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27135361303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13567680650 + 13567680651.

It is an arithmetic number, because the mean of its divisors is an integer number (13567680651).

Almost surely, 2^27135361301 is an apocalyptic number.

It is an amenable number.

27135361301 is a deficient number, since it is larger than the sum of its proper divisors (1).

27135361301 is an equidigital number, since it uses as much as digits as its factorization.

27135361301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 32.

The spelling of 27135361301 in words is "twenty-seven billion, one hundred thirty-five million, three hundred sixty-one thousand, three hundred one".