10117531008 has 576 divisors, whose sum is σ = 35024698800. Its totient is φ = 2776965120.

The previous prime is 10117531007. The next prime is 10117531013. The reversal of 10117531008 is 80013571101.

10117531008 is a `hidden beast` number, since 10 + 117 + 531 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117531001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273446766 + ... + 273446802.

Almost surely, 2^10117531008 is an apocalyptic number.

10117531008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10117531008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512349400).

10117531008 is an abundant number, since it is smaller than the sum of its proper divisors (24907167792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10117531008 is a wasteful number, since it uses less digits than its factorization.

10117531008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 10117531008 in words is "ten billion, one hundred seventeen million, five hundred thirty-one thousand, eight".