1008920180677 has 2 divisors, whose sum is σ = 1008920180678. Its totient is φ = 1008920180676.

The previous prime is 1008920180663. The next prime is 1008920180747. The reversal of 1008920180677 is 7760810298001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 924263040996 + 84657139681 = 961386^2 + 290959^2 .

It is an emirp because it is prime and its reverse (7760810298001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1008920180677 - 2¹⁵ = 1008920147909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1008920180677.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1008920180617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504460090338 + 504460090339.

It is an arithmetic number, because the mean of its divisors is an integer number (504460090339).

Almost surely, 2^{1008920180677} is an apocalyptic number.

It is an amenable number.

1008920180677 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008920180677 is an equidigital number, since it uses as much as digits as its factorization.

1008920180677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 49.

The spelling of 1008920180677 in words is "one trillion, eight billion, nine hundred twenty million, one hundred eighty thousand, six hundred seventy-seven".