82413855324505 has 16 divisors (see below), whose sum is σ = 101314359247248. Its totient is φ = 64319440768000.

The previous prime is 82413855324481. The next prime is 82413855324529. The reversal of 82413855324505 is 50542355831428.

It is an interprime number because it is at equal distance from previous prime (82413855324481) and next prime (82413855324529).

It can be written as a sum of positive squares in 8 ways, for example, as 12455167939344 + 69958687385161 = 3529188^2 + 8364131^2 .

It is not a de Polignac number, because 82413855324505 - 2¹¹ = 82413855322457 is a prime.

It is a super-2 number, since 2×82413855324505² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7443406 + ... + 14840215.

It is an arithmetic number, because the mean of its divisors is an integer number (6332147452953).

Almost surely, 2^{82413855324505} is an apocalyptic number.

It is an amenable number.

82413855324505 is a deficient number, since it is larger than the sum of its proper divisors (18900503922743).

82413855324505 is a wasteful number, since it uses less digits than its factorization.

82413855324505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22301708.

The product of its (nonzero) digits is 23040000, while the sum is 55.

The spelling of 82413855324505 in words is "eighty-two trillion, four hundred thirteen billion, eight hundred fifty-five million, three hundred twenty-four thousand, five hundred five".