1317424179681 has 81 divisors (see below), whose sum is σ = 2008114766931. Its totient is φ = 832249480608.

The previous prime is 1317424179679. The next prime is 1317424179689. The reversal of 1317424179681 is 1869714247131.

The square root of 1317424179681 is 1147791.

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

1317424179681 is a `hidden beast` number, since 1 + 317 + 4 + 241 + 7 + 9 + 6 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 690825283281 + 626598896400 = 831159^2 + 791580^2 .

It is not a de Polignac number, because 1317424179681 - 2¹ = 1317424179679 is a prime.

It is a super-2 number, since 2×1317424179681² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1317424179689) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7888767460 + ... + 7888767626.

Almost surely, 2^{1317424179681} is an apocalyptic number.

1317424179681 is the 1147791-st square number.

1317424179681 is the 573896-th centered octagonal number.

It is an amenable number.

1317424179681 is a deficient number, since it is larger than the sum of its proper divisors (690690587250).

1317424179681 is an frugal number, since it uses more digits than its factorization.

1317424179681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 278 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 1317424179681 in words is "one trillion, three hundred seventeen billion, four hundred twenty-four million, one hundred seventy-nine thousand, six hundred eighty-one".