73835004193 has 2 divisors, whose sum is σ = 73835004194. Its totient is φ = 73835004192.

The previous prime is 73835004167. The next prime is 73835004223. The reversal of 73835004193 is 39140053837.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73738316304 + 96687889 = 271548^2 + 9833^2 .

It is a cyclic number.

It is not a de Polignac number, because 73835004193 - 2¹⁷ = 73834873121 is a prime.

It is not a weakly prime, because it can be changed into another prime (73835004143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36917502096 + 36917502097.

It is an arithmetic number, because the mean of its divisors is an integer number (36917502097).

Almost surely, 2^73835004193 is an apocalyptic number.

It is an amenable number.

73835004193 is a deficient number, since it is larger than the sum of its proper divisors (1).

73835004193 is an equidigital number, since it uses as much as digits as its factorization.

73835004193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 73835004193 in words is "seventy-three billion, eight hundred thirty-five million, four thousand, one hundred ninety-three".