1688825363207 has 2 divisors, whose sum is σ = 1688825363208. Its totient is φ = 1688825363206.

The previous prime is 1688825363177. The next prime is 1688825363209. The reversal of 1688825363207 is 7023635288861.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (7023635288861) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1688825363207 - 2³⁸ = 1413947456263 is a prime.

It is a super-2 number, since 2×1688825363207² (a number of 25 digits) contains 22 as substring.

Together with 1688825363209, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1688825363209) 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, 844412681603 + 844412681604.

It is an arithmetic number, because the mean of its divisors is an integer number (844412681604).

Almost surely, 2^{1688825363207} is an apocalyptic number.

1688825363207 is a deficient number, since it is larger than the sum of its proper divisors (1).

1688825363207 is an equidigital number, since it uses as much as digits as its factorization.

1688825363207 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 1688825363207 in words is "one trillion, six hundred eighty-eight billion, eight hundred twenty-five million, three hundred sixty-three thousand, two hundred seven".