1256117477133 has 32 divisors (see below), whose sum is σ = 1698238651392. Its totient is φ = 825790204800.

The previous prime is 1256117477123. The next prime is 1256117477141. The reversal of 1256117477133 is 3317747116521.

It is not a de Polignac number, because 1256117477133 - 2¹⁶ = 1256117411597 is a prime.

It is a super-3 number, since 3×1256117477133³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256117477113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199033048 + ... + 199039358.

It is an arithmetic number, because the mean of its divisors is an integer number (53069957856).

Almost surely, 2^{1256117477133} is an apocalyptic number.

It is an amenable number.

1256117477133 is a deficient number, since it is larger than the sum of its proper divisors (442121174259).

1256117477133 is a wasteful number, since it uses less digits than its factorization.

1256117477133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585.

The product of its digits is 740880, while the sum is 48.

The spelling of 1256117477133 in words is "one trillion, two hundred fifty-six billion, one hundred seventeen million, four hundred seventy-seven thousand, one hundred thirty-three".