1001000033085 has 32 divisors (see below), whose sum is σ = 1725099844608. Its totient is φ = 492714362880.

The previous prime is 1001000033071. The next prime is 1001000033123. The reversal of 1001000033085 is 5803300001001.

It is a happy number.

It is not a de Polignac number, because 1001000033085 - 2⁵ = 1001000033053 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 686029 + ... + 1572461.

It is an arithmetic number, because the mean of its divisors is an integer number (53909370144).

Almost surely, 2^{1001000033085} is an apocalyptic number.

1001000033085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001000033085 is a deficient number, since it is larger than the sum of its proper divisors (724099811523).

1001000033085 is a wasteful number, since it uses less digits than its factorization.

1001000033085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892245.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 1001000033085 its reverse (5803300001001), we get a palindrome (6804300034086).

The spelling of 1001000033085 in words is "one trillion, one billion, thirty-three thousand, eighty-five".