73533521334209 has 2 divisors, whose sum is σ = 73533521334210. Its totient is φ = 73533521334208.

The previous prime is 73533521334121. The next prime is 73533521334223. The reversal of 73533521334209 is 90243312533537.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38974736850625 + 34558784483584 = 6242975^2 + 5878672^2 .

It is a cyclic number.

It is not a de Polignac number, because 73533521334209 - 2²⁰ = 73533520285633 is a prime.

It is not a weakly prime, because it can be changed into another prime (73533521394209) 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 as a sum of consecutive naturals, namely, 36766760667104 + 36766760667105.

It is an arithmetic number, because the mean of its divisors is an integer number (36766760667105).

Almost surely, 2^{73533521334209} is an apocalyptic number.

It is an amenable number.

73533521334209 is a deficient number, since it is larger than the sum of its proper divisors (1).

73533521334209 is an equidigital number, since it uses as much as digits as its factorization.

73533521334209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6123600, while the sum is 50.

The spelling of 73533521334209 in words is "seventy-three trillion, five hundred thirty-three billion, five hundred twenty-one million, three hundred thirty-four thousand, two hundred nine".