1001056557104 has 40 divisors (see below), whose sum is σ = 2080149830640. Its totient is φ = 465237796608.

The previous prime is 1001056557097. The next prime is 1001056557121. The reversal of 1001056557104 is 4017556501001.

It is a super-2 number, since 2×1001056557104² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31049447 + ... + 31081670.

It is an arithmetic number, because the mean of its divisors is an integer number (52003745766).

Almost surely, 2^{1001056557104} is an apocalyptic number.

It is an amenable number.

1001056557104 is an abundant number, since it is smaller than the sum of its proper divisors (1079093273536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001056557104 is a wasteful number, since it uses less digits than its factorization.

1001056557104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62131197 (or 62131191 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 35.

The spelling of 1001056557104 in words is "one trillion, one billion, fifty-six million, five hundred fifty-seven thousand, one hundred four".