82083113045241 has 64 divisors (see below), whose sum is σ = 143105207832576. Its totient is φ = 40579600723200.

The previous prime is 82083113045203. The next prime is 82083113045249. The reversal of 82083113045241 is 14254031138028.

It is not a de Polignac number, because 82083113045241 - 2¹⁵ = 82083113012473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82083113045193 and 82083113045202.

It is not an unprimeable number, because it can be changed into a prime (82083113045249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38165230 + ... + 40258551.

It is an arithmetic number, because the mean of its divisors is an integer number (2236018872384).

Almost surely, 2^{82083113045241} is an apocalyptic number.

It is an amenable number.

82083113045241 is a deficient number, since it is larger than the sum of its proper divisors (61022094787335).

82083113045241 is a wasteful number, since it uses less digits than its factorization.

82083113045241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78424022.

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 82083113045241 in words is "eighty-two trillion, eighty-three billion, one hundred thirteen million, forty-five thousand, two hundred forty-one".