291027046721 has 2 divisors, whose sum is σ = 291027046722. Its totient is φ = 291027046720.

The previous prime is 291027046649. The next prime is 291027046759. The reversal of 291027046721 is 127640720192.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252369588496 + 38657458225 = 502364^2 + 196615^2 .

It is a cyclic number.

It is not a de Polignac number, because 291027046721 - 2¹⁰ = 291027045697 is a prime.

It is not a weakly prime, because it can be changed into another prime (291027846721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 145513523360 + 145513523361.

It is an arithmetic number, because the mean of its divisors is an integer number (145513523361).

Almost surely, 2^291027046721 is an apocalyptic number.

It is an amenable number.

291027046721 is a deficient number, since it is larger than the sum of its proper divisors (1).

291027046721 is an equidigital number, since it uses as much as digits as its factorization.

291027046721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 291027046721 in words is "two hundred ninety-one billion, twenty-seven million, forty-six thousand, seven hundred twenty-one".