82012735505 has 16 divisors (see below), whose sum is σ = 98636952960. Its totient is φ = 65462572032.

The previous prime is 82012735489. The next prime is 82012735591. The reversal of 82012735505 is 50553721028.

It is a cyclic number.

It is not a de Polignac number, because 82012735505 - 2⁴ = 82012735489 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4414526 + ... + 4433064.

It is an arithmetic number, because the mean of its divisors is an integer number (6164809560).

Almost surely, 2^82012735505 is an apocalyptic number.

It is an amenable number.

82012735505 is a deficient number, since it is larger than the sum of its proper divisors (16624217455).

82012735505 is a wasteful number, since it uses less digits than its factorization.

82012735505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20488.

The product of its (nonzero) digits is 84000, while the sum is 38.

The spelling of 82012735505 in words is "eighty-two billion, twelve million, seven hundred thirty-five thousand, five hundred five".