82585018935573 has 384 divisors, whose sum is σ = 147150517764096. Its totient is φ = 39982662720000.

The previous prime is 82585018935557. The next prime is 82585018935583. The reversal of 82585018935573 is 37553981058528.

It is not a de Polignac number, because 82585018935573 - 2⁴ = 82585018935557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82585018935498 and 82585018935507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82585018935583) 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 383 ways as a sum of consecutive naturals, for example, 329023979698 + ... + 329023979948.

It is an arithmetic number, because the mean of its divisors is an integer number (383204473344).

Almost surely, 2^{82585018935573} is an apocalyptic number.

It is an amenable number.

82585018935573 is a deficient number, since it is larger than the sum of its proper divisors (64565498828523).

82585018935573 is a wasteful number, since it uses less digits than its factorization.

82585018935573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 362880000, while the sum is 69.

The spelling of 82585018935573 in words is "eighty-two trillion, five hundred eighty-five billion, eighteen million, nine hundred thirty-five thousand, five hundred seventy-three".