273065818249 has 27 divisors (see below), whose sum is σ = 335331567207. Its totient is φ = 221681220768.

The previous prime is 273065818189. The next prime is 273065818253. The reversal of 273065818249 is 942818560372.

The square root of 273065818249 is 522557.

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

It can be written as a sum of positive squares in only one way, i.e., 38693643849 + 234372174400 = 196707^2 + 484120^2 .

It is not a de Polignac number, because 273065818249 - 2²³ = 273057429641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 273065818249.

It is not an unprimeable number, because it can be changed into a prime (273065818279) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69498117 + ... + 69502045.

It is a 1-persistent number, because it is pandigital, but 2⋅273065818249 = 546131636498 is not.

Almost surely, 2^273065818249 is an apocalyptic number.

273065818249 is the 522557-th square number.

273065818249 is the 261279-th centered octagonal number.

It is an amenable number.

273065818249 is a deficient number, since it is larger than the sum of its proper divisors (62265748958).

273065818249 is an frugal number, since it uses more digits than its factorization.

273065818249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7910 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 273065818249 in words is "two hundred seventy-three billion, sixty-five million, eight hundred eighteen thousand, two hundred forty-nine".