83538117311 has 8 divisors (see below), whose sum is σ = 95094774144. Its totient is φ = 72641840920.

The previous prime is 83538117293. The next prime is 83538117359. The reversal of 83538117311 is 11371183538.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 83538117311 - 2¹⁰ = 83538116287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83538117371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165094841 + ... + 165095346.

It is an arithmetic number, because the mean of its divisors is an integer number (11886846768).

Almost surely, 2^83538117311 is an apocalyptic number.

83538117311 is a deficient number, since it is larger than the sum of its proper divisors (11556656833).

83538117311 is a wasteful number, since it uses less digits than its factorization.

83538117311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330190221.

The product of its digits is 60480, while the sum is 41.

The spelling of 83538117311 in words is "eighty-three billion, five hundred thirty-eight million, one hundred seventeen thousand, three hundred eleven".