82042584513 has 16 divisors (see below), whose sum is σ = 112370135616. Its totient is φ = 53205664320.

The previous prime is 82042584499. The next prime is 82042584563. The reversal of 82042584513 is 31548524028.

It is not a de Polignac number, because 82042584513 - 2¹³ = 82042576321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82042584563) 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 15 ways as a sum of consecutive naturals, for example, 472395 + ... + 622287.

It is an arithmetic number, because the mean of its divisors is an integer number (7023133476).

Almost surely, 2^82042584513 is an apocalyptic number.

It is an amenable number.

82042584513 is a deficient number, since it is larger than the sum of its proper divisors (30327551103).

82042584513 is a wasteful number, since it uses less digits than its factorization.

82042584513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154864.

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 82042584513 in words is "eighty-two billion, forty-two million, five hundred eighty-four thousand, five hundred thirteen".