1001056105051 has 12 divisors (see below), whose sum is σ = 1036919397000. Its totient is φ = 966394977120.

The previous prime is 1001056105043. The next prime is 1001056105061. The reversal of 1001056105051 is 1505016501001.

It is not a de Polignac number, because 1001056105051 - 2³ = 1001056105043 is a prime.

It is a super-2 number, since 2×1001056105051² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001056105061) 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 11 ways as a sum of consecutive naturals, for example, 880401 + ... + 1666498.

It is an arithmetic number, because the mean of its divisors is an integer number (86409949750).

Almost surely, 2^{1001056105051} is an apocalyptic number.

1001056105051 is a deficient number, since it is larger than the sum of its proper divisors (35863291949).

1001056105051 is an equidigital number, since it uses as much as digits as its factorization.

1001056105051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547370 (or 2547339 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 1001056105051 in words is "one trillion, one billion, fifty-six million, one hundred five thousand, fifty-one".