1006623205417 has 2 divisors, whose sum is σ = 1006623205418. Its totient is φ = 1006623205416.

The previous prime is 1006623205397. The next prime is 1006623205487. The reversal of 1006623205417 is 7145023266001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 601572423321 + 405050782096 = 775611^2 + 636436^2 .

It is an emirp because it is prime and its reverse (7145023266001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006623205417 - 2²⁷ = 1006488987689 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006623205487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503311602708 + 503311602709.

It is an arithmetic number, because the mean of its divisors is an integer number (503311602709).

Almost surely, 2^{1006623205417} is an apocalyptic number.

It is an amenable number.

1006623205417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006623205417 is an equidigital number, since it uses as much as digits as its factorization.

1006623205417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 1006623205417 in words is "one trillion, six billion, six hundred twenty-three million, two hundred five thousand, four hundred seventeen".