1006076830561 has 16 divisors (see below), whose sum is σ = 1162167049728. Its totient is φ = 860764320000.

The previous prime is 1006076830537. The next prime is 1006076830573. The reversal of 1006076830561 is 1650386706001.

It is a cyclic number.

It is not a de Polignac number, because 1006076830561 - 2¹⁵ = 1006076797793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006076830501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3265936 + ... + 3560686.

It is an arithmetic number, because the mean of its divisors is an integer number (72635440608).

Almost surely, 2^{1006076830561} is an apocalyptic number.

1006076830561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006076830561 is a deficient number, since it is larger than the sum of its proper divisors (156090219167).

1006076830561 is a wasteful number, since it uses less digits than its factorization.

1006076830561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313032.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 1006076830561 in words is "one trillion, six billion, seventy-six million, eight hundred thirty thousand, five hundred sixty-one".