82338301593 has 12 divisors (see below), whose sum is σ = 118937282880. Its totient is φ = 54890271576.

The previous prime is 82338301571. The next prime is 82338301607. The reversal of 82338301593 is 39510383328.

82338301593 is a `hidden beast` number, since 8 + 2 + 338 + 301 + 5 + 9 + 3 = 666.

It is not a de Polignac number, because 82338301593 - 2⁹ = 82338301081 is a prime.

It is a super-3 number, since 3×82338301593³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82338302593) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138868 + ... + 428906.

It is an arithmetic number, because the mean of its divisors is an integer number (9911440240).

Almost surely, 2^82338301593 is an apocalyptic number.

It is an amenable number.

82338301593 is a deficient number, since it is larger than the sum of its proper divisors (36598981287).

82338301593 is a wasteful number, since it uses less digits than its factorization.

82338301593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321588 (or 321585 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 82338301593 in words is "eighty-two billion, three hundred thirty-eight million, three hundred one thousand, five hundred ninety-three".