83117730508825 has 12 divisors (see below), whose sum is σ = 109128690880380. Its totient is φ = 62582761794560.

The previous prime is 83117730508783. The next prime is 83117730508829. The reversal of 83117730508825 is 52880503771138.

It can be written as a sum of positive squares in 6 ways, for example, as 193012606224 + 82924717902601 = 439332^2 + 9106301^2 .

It is not a de Polignac number, because 83117730508825 - 2⁷ = 83117730508697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83117730508825.

It is not an unprimeable number, because it can be changed into a prime (83117730508829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97785564880 + ... + 97785565729.

It is an arithmetic number, because the mean of its divisors is an integer number (9094057573365).

Almost surely, 2^{83117730508825} is an apocalyptic number.

83117730508825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83117730508825 is a deficient number, since it is larger than the sum of its proper divisors (26010960371555).

83117730508825 is a wasteful number, since it uses less digits than its factorization.

83117730508825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195571130636 (or 195571130631 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 58.

The spelling of 83117730508825 in words is "eighty-three trillion, one hundred seventeen billion, seven hundred thirty million, five hundred eight thousand, eight hundred twenty-five".