3417865664953 has 2 divisors, whose sum is σ = 3417865664954. Its totient is φ = 3417865664952.

The previous prime is 3417865664933. The next prime is 3417865665029. The reversal of 3417865664953 is 3594665687143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3083859112464 + 334006552489 = 1756092^2 + 577933^2 .

It is a cyclic number.

It is not a de Polignac number, because 3417865664953 - 2¹³ = 3417865656761 is a prime.

It is a super-2 number, since 2×3417865664953² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3417865664933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1708932832476 + 1708932832477.

It is an arithmetic number, because the mean of its divisors is an integer number (1708932832477).

Almost surely, 2^{3417865664953} is an apocalyptic number.

It is an amenable number.

3417865664953 is a deficient number, since it is larger than the sum of its proper divisors (1).

3417865664953 is an equidigital number, since it uses as much as digits as its factorization.

3417865664953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 391910400, while the sum is 67.

The spelling of 3417865664953 in words is "three trillion, four hundred seventeen billion, eight hundred sixty-five million, six hundred sixty-four thousand, nine hundred fifty-three".