1683753312817 has 2 divisors, whose sum is σ = 1683753312818. Its totient is φ = 1683753312816.

The previous prime is 1683753312781. The next prime is 1683753312833. The reversal of 1683753312817 is 7182133573861.

Together with previous prime (1683753312781) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1675305680896 + 8447631921 = 1294336^2 + 91911^2 .

It is a cyclic number.

It is not a de Polignac number, because 1683753312817 - 2¹⁵ = 1683753280049 is a prime.

It is not a weakly prime, because it can be changed into another prime (1683753312317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 841876656408 + 841876656409.

It is an arithmetic number, because the mean of its divisors is an integer number (841876656409).

Almost surely, 2^{1683753312817} is an apocalyptic number.

It is an amenable number.

1683753312817 is a deficient number, since it is larger than the sum of its proper divisors (1).

1683753312817 is an equidigital number, since it uses as much as digits as its factorization.

1683753312817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5080320, while the sum is 55.

The spelling of 1683753312817 in words is "one trillion, six hundred eighty-three billion, seven hundred fifty-three million, three hundred twelve thousand, eight hundred seventeen".