73333007633333 has 6 divisors (see below), whose sum is σ = 85305743573526. Its totient is φ = 62856863685672.

The previous prime is 73333007633299. The next prime is 73333007633339. The reversal of 73333007633333 is 33333670033337.

It can be written as a sum of positive squares in only one way, i.e., 45520484190769 + 27812523442564 = 6746887^2 + 5273758^2 .

It is not a de Polignac number, because 73333007633333 - 2²⁰ = 73333006584757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73333007633339) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 748295996210 + ... + 748295996307.

It is an arithmetic number, because the mean of its divisors is an integer number (14217623928921).

Almost surely, 2^{73333007633333} is an apocalyptic number.

It is an amenable number.

73333007633333 is a deficient number, since it is larger than the sum of its proper divisors (11972735940193).

73333007633333 is a wasteful number, since it uses less digits than its factorization.

73333007633333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496591992531 (or 1496591992524 counting only the distinct ones).

The product of its (nonzero) digits is 5786802, while the sum is 47.

The spelling of 73333007633333 in words is "seventy-three trillion, three hundred thirty-three billion, seven million, six hundred thirty-three thousand, three hundred thirty-three".