27312121049 has 2 divisors, whose sum is σ = 27312121050. Its totient is φ = 27312121048.

The previous prime is 27312121009. The next prime is 27312121051. The reversal of 27312121049 is 94012121372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23113729024 + 4198392025 = 152032^2 + 64795^2 .

It is a cyclic number.

It is not a de Polignac number, because 27312121049 - 2²⁸ = 27043685593 is a prime.

Together with 27312121051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (27312121009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13656060524 + 13656060525.

It is an arithmetic number, because the mean of its divisors is an integer number (13656060525).

Almost surely, 2^27312121049 is an apocalyptic number.

It is an amenable number.

27312121049 is a deficient number, since it is larger than the sum of its proper divisors (1).

27312121049 is an equidigital number, since it uses as much as digits as its factorization.

27312121049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 27312121049 in words is "twenty-seven billion, three hundred twelve million, one hundred twenty-one thousand, forty-nine".