3505205353141 has 2 divisors, whose sum is σ = 3505205353142. Its totient is φ = 3505205353140.

The previous prime is 3505205353093. The next prime is 3505205353159. The reversal of 3505205353141 is 1413535025053.

3505205353141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2420855928100 + 1084349425041 = 1555910^2 + 1041321^2 .

It is a cyclic number.

It is not a de Polignac number, because 3505205353141 - 2¹¹ = 3505205351093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3505205353141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3505205353171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1752602676570 + 1752602676571.

It is an arithmetic number, because the mean of its divisors is an integer number (1752602676571).

Almost surely, 2^{3505205353141} is an apocalyptic number.

It is an amenable number.

3505205353141 is a deficient number, since it is larger than the sum of its proper divisors (1).

3505205353141 is an equidigital number, since it uses as much as digits as its factorization.

3505205353141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135000, while the sum is 37.

The spelling of 3505205353141 in words is "three trillion, five hundred five billion, two hundred five million, three hundred fifty-three thousand, one hundred forty-one".