2001032001 has 24 divisors (see below), whose sum is σ = 2948474880. Its totient is φ = 1307457216.

The previous prime is 2001031859. The next prime is 2001032009. The reversal of 2001032001 is 1002301002.

It is a happy number.

It is not a de Polignac number, because 2001032001 - 2¹⁷ = 2000900929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2001032009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87136 + ... + 107678.

It is an arithmetic number, because the mean of its divisors is an integer number (122853120).

Almost surely, 2^2001032001 is an apocalyptic number.

It is an amenable number.

2001032001 is a deficient number, since it is larger than the sum of its proper divisors (947442879).

2001032001 is a wasteful number, since it uses less digits than its factorization.

2001032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20765 (or 20762 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2001032001 is about 44732.8961839047. The cubic root of 2001032001 is about 1260.1377192625.

Adding to 2001032001 its reverse (1002301002), we get a palindrome (3003333003).

The spelling of 2001032001 in words is "two billion, one million, thirty-two thousand, one".