82588512606 has 32 divisors (see below), whose sum is σ = 170787149568. Its totient is φ = 26607034560.

The previous prime is 82588512581. The next prime is 82588512607. The reversal of 82588512606 is 60621588528.

It is a super-2 number, since 2×82588512606² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82588512607) 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, 1542490 + ... + 1595133.

It is an arithmetic number, because the mean of its divisors is an integer number (5337098424).

Almost surely, 2^82588512606 is an apocalyptic number.

82588512606 is an abundant number, since it is smaller than the sum of its proper divisors (88198636962).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82588512606 is a wasteful number, since it uses less digits than its factorization.

82588512606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137776.

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 82588512606 in words is "eighty-two billion, five hundred eighty-eight million, five hundred twelve thousand, six hundred six".