741759452058241 has 2 divisors, whose sum is σ = 741759452058242. Its totient is φ = 741759452058240.

The previous prime is 741759452058197. The next prime is 741759452058301. The reversal of 741759452058241 is 142850254957147.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 446358748857616 + 295400703200625 = 21127204^2 + 17187225^2 .

It is a cyclic number.

It is not a de Polignac number, because 741759452058241 - 2¹¹ = 741759452056193 is a prime.

It is not a weakly prime, because it can be changed into another prime (741759452058341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 370879726029120 + 370879726029121.

It is an arithmetic number, because the mean of its divisors is an integer number (370879726029121).

Almost surely, 2^{741759452058241} is an apocalyptic number.

It is an amenable number.

741759452058241 is a deficient number, since it is larger than the sum of its proper divisors (1).

741759452058241 is an equidigital number, since it uses as much as digits as its factorization.

741759452058241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896000, while the sum is 64.

The spelling of 741759452058241 in words is "seven hundred forty-one trillion, seven hundred fifty-nine billion, four hundred fifty-two million, fifty-eight thousand, two hundred forty-one".