1006055056111 has 36 divisors (see below), whose sum is σ = 1283354296848. Its totient is φ = 783620431104.

The previous prime is 1006055056099. The next prime is 1006055056121. The reversal of 1006055056111 is 1116505506001.

It is not a de Polignac number, because 1006055056111 - 2⁵ = 1006055056079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006055056121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17491 + ... + 1418596.

It is an arithmetic number, because the mean of its divisors is an integer number (35648730468).

Almost surely, 2^{1006055056111} is an apocalyptic number.

1006055056111 is a deficient number, since it is larger than the sum of its proper divisors (277299240737).

1006055056111 is a wasteful number, since it uses less digits than its factorization.

1006055056111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436176 (or 1436140 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 1006055056111 in words is "one trillion, six billion, fifty-five million, fifty-six thousand, one hundred eleven".