291949036128289 has 2 divisors, whose sum is σ = 291949036128290. Its totient is φ = 291949036128288.

The previous prime is 291949036128227. The next prime is 291949036128329. The reversal of 291949036128289 is 982821630949192.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 263364861390400 + 28584174737889 = 16228520^2 + 5346417^2 .

It is a cyclic number.

It is not a de Polignac number, because 291949036128289 - 2⁴¹ = 289750012872737 is a prime.

It is a super-3 number, since 3×291949036128289³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (291949036126289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 145974518064144 + 145974518064145.

It is an arithmetic number, because the mean of its divisors is an integer number (145974518064145).

Almost surely, 2^{291949036128289} is an apocalyptic number.

It is an amenable number.

291949036128289 is a deficient number, since it is larger than the sum of its proper divisors (1).

291949036128289 is an equidigital number, since it uses as much as digits as its factorization.

291949036128289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 241864704, while the sum is 73.

The spelling of 291949036128289 in words is "two hundred ninety-one trillion, nine hundred forty-nine billion, thirty-six million, one hundred twenty-eight thousand, two hundred eighty-nine".