34033132993 has 12 divisors (see below), whose sum is σ = 34642973820. Its totient is φ = 33433836480.

The previous prime is 34033132957. The next prime is 34033132999. The reversal of 34033132993 is 39923133043.

It can be written as a sum of positive squares in 6 ways, for example, as 174556944 + 33858576049 = 13212^2 + 184007^2 .

It is not a de Polignac number, because 34033132993 - 2²⁹ = 33496262081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34033132999) 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 11 ways as a sum of consecutive naturals, for example, 3258103 + ... + 3268531.

It is an arithmetic number, because the mean of its divisors is an integer number (2886914485).

Almost surely, 2^34033132993 is an apocalyptic number.

It is an amenable number.

34033132993 is a deficient number, since it is larger than the sum of its proper divisors (609840827).

34033132993 is an equidigital number, since it uses as much as digits as its factorization.

34033132993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11428 (or 11367 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 40.

The spelling of 34033132993 in words is "thirty-four billion, thirty-three million, one hundred thirty-two thousand, nine hundred ninety-three".