73353281801 has 2 divisors, whose sum is σ = 73353281802. Its totient is φ = 73353281800.

The previous prime is 73353281747. The next prime is 73353281803. The reversal of 73353281801 is 10818235337.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48876366400 + 24476915401 = 221080^2 + 156451^2 .

It is a cyclic number.

It is not a de Polignac number, because 73353281801 - 2³⁰ = 72279539977 is a prime.

Together with 73353281803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (73353281803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36676640900 + 36676640901.

It is an arithmetic number, because the mean of its divisors is an integer number (36676640901).

Almost surely, 2^73353281801 is an apocalyptic number.

It is an amenable number.

73353281801 is a deficient number, since it is larger than the sum of its proper divisors (1).

73353281801 is an equidigital number, since it uses as much as digits as its factorization.

73353281801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 73353281801 in words is "seventy-three billion, three hundred fifty-three million, two hundred eighty-one thousand, eight hundred one".