33041032985689 has 9 divisors (see below), whose sum is σ = 33070518448317. Its totient is φ = 33011573804064.

The previous prime is 33041032985687. The next prime is 33041032985713. The reversal of 33041032985689 is 98658923014033.

The square root of 33041032985689 is 5748133.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17100912855625 + 15940120130064 = 4135325^2 + 3992508^2 .

It is not a de Polignac number, because 33041032985689 - 2¹ = 33041032985687 is a prime.

It is a super-2 number, since 2×33041032985689² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33041032985687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9524654647 + ... + 9524658115.

It is an arithmetic number, because the mean of its divisors is an integer number (3674502049813).

Almost surely, 2^{33041032985689} is an apocalyptic number.

33041032985689 is the 5748133-rd square number.

33041032985689 is the 2874067-th centered octagonal number.

It is an amenable number.

33041032985689 is a deficient number, since it is larger than the sum of its proper divisors (29485462628).

33041032985689 is an frugal number, since it uses more digits than its factorization.

33041032985689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10252 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 61.

The spelling of 33041032985689 in words is "thirty-three trillion, forty-one billion, thirty-two million, nine hundred eighty-five thousand, six hundred eighty-nine".