274208275201 has 27 divisors (see below), whose sum is σ = 321343836291. Its totient is φ = 233304480864.

The previous prime is 274208275189. The next prime is 274208275207. The reversal of 274208275201 is 102572802472.

The square root of 274208275201 is 523649.

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

274208275201 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., 1749330625 + 272458944576 = 41825^2 + 521976^2 .

It is not a de Polignac number, because 274208275201 - 2¹⁹ = 274207750913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (274208275207) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 876064621 + ... + 876064933.

Almost surely, 2^274208275201 is an apocalyptic number.

274208275201 is the 523649-th square number.

274208275201 is the 261825-th centered octagonal number.

It is an amenable number.

274208275201 is a deficient number, since it is larger than the sum of its proper divisors (47135561090).

274208275201 is an frugal number, since it uses more digits than its factorization.

274208275201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 274208275201 in words is "two hundred seventy-four billion, two hundred eight million, two hundred seventy-five thousand, two hundred one".