83182106777517 has 48 divisors (see below), whose sum is σ = 134619204769920. Its totient is φ = 49050215452800.

The previous prime is 83182106777513. The next prime is 83182106777531. The reversal of 83182106777517 is 71577760128138.

83182106777517 is a `hidden beast` number, since 8 + 3 + 1 + 8 + 2 + 106 + 7 + 7 + 7 + 517 = 666.

It is not a de Polignac number, because 83182106777517 - 2² = 83182106777513 is a prime.

It is a super-2 number, since 2×83182106777517² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83182106777513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475073167 + ... + 475248227.

It is an arithmetic number, because the mean of its divisors is an integer number (2804566766040).

Almost surely, 2^{83182106777517} is an apocalyptic number.

It is an amenable number.

83182106777517 is a deficient number, since it is larger than the sum of its proper divisors (51437097992403).

83182106777517 is a wasteful number, since it uses less digits than its factorization.

83182106777517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304834 (or 304831 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 63.

The spelling of 83182106777517 in words is "eighty-three trillion, one hundred eighty-two billion, one hundred six million, seven hundred seventy-seven thousand, five hundred seventeen".