1271998253241 has 27 divisors (see below), whose sum is σ = 1868247900207. Its totient is φ = 833961875760.

The previous prime is 1271998253221. The next prime is 1271998253287. The reversal of 1271998253241 is 1423528991721.

The square root of 1271998253241 is 1127829.

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

1271998253241 is a `hidden beast` number, since 1 + 2 + 7 + 19 + 98 + 2 + 532 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41363017641 + 1230635235600 = 203379^2 + 1109340^2 .

It is not a de Polignac number, because 1271998253241 - 2¹⁵ = 1271998220473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1271998253221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 206389626 + ... + 206395788.

Almost surely, 2^{1271998253241} is an apocalyptic number.

1271998253241 is the 1127829-th square number.

1271998253241 is the 563915-th centered octagonal number.

It is an amenable number.

1271998253241 is a deficient number, since it is larger than the sum of its proper divisors (596249646966).

1271998253241 is an frugal number, since it uses more digits than its factorization.

1271998253241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12454 (or 6227 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 1271998253241 in words is "one trillion, two hundred seventy-one billion, nine hundred ninety-eight million, two hundred fifty-three thousand, two hundred forty-one".