281272183201 has 27 divisors (see below), whose sum is σ = 292264696153. Its totient is φ = 270691150400.

The previous prime is 281272183169. The next prime is 281272183207. The reversal of 281272183201 is 102381272182.

The square root of 281272183201 is 530351.

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 17795293201 + 263476890000 = 133399^2 + 513300^2 .

It is not a de Polignac number, because 281272183201 - 2⁵ = 281272183169 is a prime.

It is a super-2 number, since 2×281272183201² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (281272183207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2784873051 + ... + 2784873151.

Almost surely, 2^281272183201 is an apocalyptic number.

281272183201 is the 530351-st square number.

281272183201 is the 265176-th centered octagonal number.

It is an amenable number.

281272183201 is a deficient number, since it is larger than the sum of its proper divisors (10992512952).

281272183201 is an frugal number, since it uses more digits than its factorization.

281272183201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 281272183201 in words is "two hundred eighty-one billion, two hundred seventy-two million, one hundred eighty-three thousand, two hundred one".