82505205725006 has 32 divisors (see below), whose sum is σ = 124432521933312. Its totient is φ = 41027985250560.

The previous prime is 82505205724999. The next prime is 82505205725069. The reversal of 82505205725006 is 60052750250528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6117380795 + ... + 6117394281.

It is an arithmetic number, because the mean of its divisors is an integer number (3888516310416).

Almost surely, 2^{82505205725006} is an apocalyptic number.

82505205725006 is a deficient number, since it is larger than the sum of its proper divisors (41927316208306).

82505205725006 is a wasteful number, since it uses less digits than its factorization.

82505205725006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22904.

The product of its (nonzero) digits is 1680000, while the sum is 47.

The spelling of 82505205725006 in words is "eighty-two trillion, five hundred five billion, two hundred five million, seven hundred twenty-five thousand, six".