1001045956001 has 16 divisors (see below), whose sum is σ = 1274541273600. Its totient is φ = 764724760128.

The previous prime is 1001045955947. The next prime is 1001045956003. The reversal of 1001045956001 is 1006595401001.

1001045956001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001045956001 - 2³⁰ = 999972214177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001045956003) 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, 189661241 + ... + 189666518.

It is an arithmetic number, because the mean of its divisors is an integer number (79658829600).

Almost surely, 2^{1001045956001} is an apocalyptic number.

It is an amenable number.

1001045956001 is a deficient number, since it is larger than the sum of its proper divisors (273495317599).

1001045956001 is a wasteful number, since it uses less digits than its factorization.

1001045956001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379327808.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 1001045956001 in words is "one trillion, one billion, forty-five million, nine hundred fifty-six thousand, one".