82982265735601 has 32 divisors (see below), whose sum is σ = 88885750108032. Its totient is φ = 77197862522880.

The previous prime is 82982265735581. The next prime is 82982265735751. The reversal of 82982265735601 is 10653756228928.

It is not a de Polignac number, because 82982265735601 - 2⁵ = 82982265735569 is a prime.

It is a super-2 number, since 2×82982265735601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82982265735001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606629125 + ... + 606765901.

It is an arithmetic number, because the mean of its divisors is an integer number (2777679690876).

Almost surely, 2^{82982265735601} is an apocalyptic number.

It is an amenable number.

82982265735601 is a deficient number, since it is larger than the sum of its proper divisors (5903484372431).

82982265735601 is a wasteful number, since it uses less digits than its factorization.

82982265735601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138049.

The product of its (nonzero) digits is 87091200, while the sum is 64.

The spelling of 82982265735601 in words is "eighty-two trillion, nine hundred eighty-two billion, two hundred sixty-five million, seven hundred thirty-five thousand, six hundred one".