1205054508017 has 2 divisors, whose sum is σ = 1205054508018. Its totient is φ = 1205054508016.

The previous prime is 1205054508011. The next prime is 1205054508043. The reversal of 1205054508017 is 7108054505021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 832174519696 + 372879988321 = 912236^2 + 610639^2 .

It is a cyclic number.

It is not a de Polignac number, because 1205054508017 - 2⁴ = 1205054508001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1205054508011) 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, 602527254008 + 602527254009.

It is an arithmetic number, because the mean of its divisors is an integer number (602527254009).

Almost surely, 2^{1205054508017} is an apocalyptic number.

It is an amenable number.

1205054508017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1205054508017 is an equidigital number, since it uses as much as digits as its factorization.

1205054508017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56000, while the sum is 38.

The spelling of 1205054508017 in words is "one trillion, two hundred five billion, fifty-four million, five hundred eight thousand, seventeen".