9034001001 has 6 divisors (see below), whose sum is σ = 13049112570. Its totient is φ = 6022667328.

The previous prime is 9034000939. The next prime is 9034001023. The reversal of 9034001001 is 1001004309.

It can be written as a sum of positive squares in only one way, i.e., 8882120025 + 151880976 = 94245^2 + 12324^2 .

It is not a de Polignac number, because 9034001001 - 2³³ = 444066409 is a prime.

It is a super-2 number, since 2×9034001001² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9034001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501888936 + ... + 501888953.

It is an arithmetic number, because the mean of its divisors is an integer number (2174852095).

Almost surely, 2^9034001001 is an apocalyptic number.

It is an amenable number.

9034001001 is a deficient number, since it is larger than the sum of its proper divisors (4015111569).

9034001001 is a wasteful number, since it uses less digits than its factorization.

9034001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003777895 (or 1003777892 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 9034001001 is about 95047.3618834316. The cubic root of 9034001001 is about 2082.6999732356.

It can be divided in two parts, 903400 and 1001, that added together give a square (904401 = 951²).

The spelling of 9034001001 in words is "nine billion, thirty-four million, one thousand, one".