1001055105561 has 16 divisors (see below), whose sum is σ = 1605702425600. Its totient is φ = 541924568208.

The previous prime is 1001055105539. The next prime is 1001055105569. The reversal of 1001055105561 is 1655015501001.

It is not a de Polignac number, because 1001055105561 - 2⁷ = 1001055105433 is a prime.

It is a super-2 number, since 2×1001055105561² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001055105569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1254454621 + ... + 1254455418.

It is an arithmetic number, because the mean of its divisors is an integer number (100356401600).

Almost surely, 2^{1001055105561} is an apocalyptic number.

It is an amenable number.

1001055105561 is a deficient number, since it is larger than the sum of its proper divisors (604647320039).

1001055105561 is a wasteful number, since it uses less digits than its factorization.

1001055105561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508910068.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 1001055105561 in words is "one trillion, one billion, fifty-five million, one hundred five thousand, five hundred sixty-one".