273353300224 has 81 divisors (see below), whose sum is σ = 559974271171. Its totient is φ = 133175767040.

The previous prime is 273353300191. The next prime is 273353300237. The reversal of 273353300224 is 422003353372.

The square root of 273353300224 is 522832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 81887545600 + 191465754624 = 286160^2 + 437568^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 273353300224.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 342977394 + ... + 342978190.

Almost surely, 2^273353300224 is an apocalyptic number.

273353300224 is the 522832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273353300224

273353300224 is an abundant number, since it is smaller than the sum of its proper divisors (286620970947).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

273353300224 is an frugal number, since it uses more digits than its factorization.

273353300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 34.

Adding to 273353300224 its reverse (422003353372), we get a palindrome (695356653596).

The spelling of 273353300224 in words is "two hundred seventy-three billion, three hundred fifty-three million, three hundred thousand, two hundred twenty-four".