83117730875157 has 24 divisors (see below), whose sum is σ = 132551386819488. Its totient is φ = 49767462074400.

The previous prime is 83117730875129. The next prime is 83117730875191. The reversal of 83117730875157 is 75157803771138.

83117730875157 is a `hidden beast` number, since 8 + 3 + 1 + 1 + 7 + 7 + 30 + 87 + 515 + 7 = 666.

It is not a de Polignac number, because 83117730875157 - 2¹⁰ = 83117730874133 is a prime.

It is a super-5 number, since 5×83117730875157⁵ (a number of 71 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83117730875094 and 83117730875103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83117730875357) 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 23 ways as a sum of consecutive naturals, for example, 5057660694 + ... + 5057677127.

It is an arithmetic number, because the mean of its divisors is an integer number (5522974450812).

Almost surely, 2^{83117730875157} is an apocalyptic number.

It is an amenable number.

83117730875157 is a deficient number, since it is larger than the sum of its proper divisors (49433655944331).

83117730875157 is a wasteful number, since it uses less digits than its factorization.

83117730875157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10115337921 (or 10115337918 counting only the distinct ones).

The product of its (nonzero) digits is 34574400, while the sum is 63.

The spelling of 83117730875157 in words is "eighty-three trillion, one hundred seventeen billion, seven hundred thirty million, eight hundred seventy-five thousand, one hundred fifty-seven".