1135117672281 has 6 divisors (see below), whose sum is σ = 1639614415530. Its totient is φ = 756745114848.

The previous prime is 1135117672237. The next prime is 1135117672289. The reversal of 1135117672281 is 1822767115311.

1135117672281 is a `hidden beast` number, since 1 + 1 + 351 + 1 + 76 + 7 + 228 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 849871953225 + 285245719056 = 921885^2 + 534084^2 .

It is not a de Polignac number, because 1135117672281 - 2¹¹ = 1135117670233 is a prime.

It is a super-2 number, since 2×1135117672281² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1135117672289) 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 5 ways as a sum of consecutive naturals, for example, 63062092896 + ... + 63062092913.

It is an arithmetic number, because the mean of its divisors is an integer number (273269069255).

Almost surely, 2^{1135117672281} is an apocalyptic number.

It is an amenable number.

1135117672281 is a deficient number, since it is larger than the sum of its proper divisors (504496743249).

1135117672281 is a wasteful number, since it uses less digits than its factorization.

1135117672281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126124185815 (or 126124185812 counting only the distinct ones).

The product of its digits is 141120, while the sum is 45.

The spelling of 1135117672281 in words is "one trillion, one hundred thirty-five billion, one hundred seventeen million, six hundred seventy-two thousand, two hundred eighty-one".