2001005831 has 8 divisors (see below), whose sum is σ = 2224103184. Its totient is φ = 1784773120.

The previous prime is 2001005821. The next prime is 2001005833. The reversal of 2001005831 is 1385001002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2001005831 - 2¹⁴ = 2000989447 is a prime.

It is a super-2 number, since 2×2001005831² = 8008048671392001122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001005833) 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 7 ways as a sum of consecutive naturals, for example, 1715546 + ... + 1716711.

It is an arithmetic number, because the mean of its divisors is an integer number (278012898).

Almost surely, 2^2001005831 is an apocalyptic number.

2001005831 is a deficient number, since it is larger than the sum of its proper divisors (223097353).

2001005831 is a wasteful number, since it uses less digits than its factorization.

2001005831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432321.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 2001005831 is about 44732.6036689125. The cubic root of 2001005831 is about 1260.1322257725.

Adding to 2001005831 its reverse (1385001002), we get a palindrome (3386006833).

The spelling of 2001005831 in words is "two billion, one million, five thousand, eight hundred thirty-one".