273217380804 has 135 divisors (see below), whose sum is σ = 726221258301. Its totient is φ = 89570214720.

The previous prime is 273217380773. The next prime is 273217380823. The reversal of 273217380804 is 408083712372.

The square root of 273217380804 is 522702.

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

273217380804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 249698091204 + 23519289600 = 499698^2 + 153360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 273217380804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 668012952 + ... + 668013360.

Almost surely, 2^273217380804 is an apocalyptic number.

273217380804 is the 522702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273217380804

273217380804 is an abundant number, since it is smaller than the sum of its proper divisors (453003877497).

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

273217380804 is an frugal number, since it uses more digits than its factorization.

273217380804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 273217380804 in words is "two hundred seventy-three billion, two hundred seventeen million, three hundred eighty thousand, eight hundred four".