12957271343641 has 3 divisors (see below), whose sum is σ = 12957274943263. Its totient is φ = 12957267744020.

The previous prime is 12957271343593. The next prime is 12957271343701. The reversal of 12957271343641 is 14634317275921.

It is a happy number.

The square root of 12957271343641 is 3599621.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 159337487241 + 12797933856400 = 399171^2 + 3577420^2 .

It is not a de Polignac number, because 12957271343641 - 2²⁷ = 12957137125913 is a prime.

It is a super-2 number, since 2×12957271343641² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12957271343041) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1799811 + ... + 5399431.

Almost surely, 2^{12957271343641} is an apocalyptic number.

12957271343641 is the 3599621-st square number.

12957271343641 is the 1799811-st centered octagonal number.

It is an amenable number.

12957271343641 is a deficient number, since it is larger than the sum of its proper divisors (3599622).

12957271343641 is an frugal number, since it uses more digits than its factorization.

12957271343641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7199242 (or 3599621 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 55.

The spelling of 12957271343641 in words is "twelve trillion, nine hundred fifty-seven billion, two hundred seventy-one million, three hundred forty-three thousand, six hundred forty-one".