82005257205505 has 16 divisors (see below), whose sum is σ = 101892428035920. Its totient is φ = 63284250545152.

The previous prime is 82005257205479. The next prime is 82005257205577. The reversal of 82005257205505 is 50550275250028.

It can be written as a sum of positive squares in 8 ways, for example, as 6273907264 + 81998983298241 = 79208^2 + 9055329^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82005257205505 is a prime.

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, 257613724 + ... + 257931853.

It is an arithmetic number, because the mean of its divisors is an integer number (6368276752245).

Almost surely, 2^{82005257205505} is an apocalyptic number.

It is an amenable number.

82005257205505 is a deficient number, since it is larger than the sum of its proper divisors (19887170830415).

82005257205505 is a wasteful number, since it uses less digits than its factorization.

82005257205505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515546708.

The product of its (nonzero) digits is 1400000, while the sum is 46.

The spelling of 82005257205505 in words is "eighty-two trillion, five billion, two hundred fifty-seven million, two hundred five thousand, five hundred five".