291253193304049 has 2 divisors, whose sum is σ = 291253193304050. Its totient is φ = 291253193304048.

The previous prime is 291253193304023. The next prime is 291253193304127. The reversal of 291253193304049 is 940403391352192.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 281476721543824 + 9776471760225 = 16777268^2 + 3126735^2 .

It is a cyclic number.

It is not a de Polignac number, because 291253193304049 - 2²⁷ = 291253059086321 is a prime.

It is not a weakly prime, because it can be changed into another prime (291253193304949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 145626596652024 + 145626596652025.

It is an arithmetic number, because the mean of its divisors is an integer number (145626596652025).

Almost surely, 2^{291253193304049} is an apocalyptic number.

It is an amenable number.

291253193304049 is a deficient number, since it is larger than the sum of its proper divisors (1).

291253193304049 is an equidigital number, since it uses as much as digits as its factorization.

291253193304049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6298560, while the sum is 55.

The spelling of 291253193304049 in words is "two hundred ninety-one trillion, two hundred fifty-three billion, one hundred ninety-three million, three hundred four thousand, forty-nine".