1006777830911 has 16 divisors (see below), whose sum is σ = 1029692571648. Its totient is φ = 983926310400.

The previous prime is 1006777830881. The next prime is 1006777830931. The reversal of 1006777830911 is 1190387776001.

It is a cyclic number.

It is not a de Polignac number, because 1006777830911 - 2⁶ = 1006777830847 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006777830911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006777830931) 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 in 15 ways as a sum of consecutive naturals, for example, 169118111 + ... + 169124063.

It is an arithmetic number, because the mean of its divisors is an integer number (64355785728).

Almost surely, 2^{1006777830911} is an apocalyptic number.

1006777830911 is a deficient number, since it is larger than the sum of its proper divisors (22914740737).

1006777830911 is an equidigital number, since it uses as much as digits as its factorization.

1006777830911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10622.

The product of its (nonzero) digits is 444528, while the sum is 50.

The spelling of 1006777830911 in words is "one trillion, six billion, seven hundred seventy-seven million, eight hundred thirty thousand, nine hundred eleven".