2001005264163 has 32 divisors (see below), whose sum is σ = 2746634591232. Its totient is φ = 1295025120000.

The previous prime is 2001005264147. The next prime is 2001005264201. The reversal of 2001005264163 is 3614625001002.

It is not a de Polignac number, because 2001005264163 - 2⁴ = 2001005264147 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001005264163.

It is not an unprimeable number, because it can be changed into a prime (2001005264113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25548220 + ... + 25626422.

It is an arithmetic number, because the mean of its divisors is an integer number (85832330976).

Almost surely, 2^{2001005264163} is an apocalyptic number.

2001005264163 is a deficient number, since it is larger than the sum of its proper divisors (745629327069).

2001005264163 is a wasteful number, since it uses less digits than its factorization.

2001005264163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79275.

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 2001005264163 in words is "two trillion, one billion, five million, two hundred sixty-four thousand, one hundred sixty-three".