82375082673381 has 24 divisors (see below), whose sum is σ = 123593117042304. Its totient is φ = 54827715650400.

The previous prime is 82375082673319. The next prime is 82375082673383. The reversal of 82375082673381 is 18337628057328.

82375082673381 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 508 + 26 + 73 + 38 + 1 = 666.

It is not a de Polignac number, because 82375082673381 - 2¹⁹ = 82375082149093 is a prime.

It is a super-2 number, since 2×82375082673381² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82375082673383) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 274560045 + ... + 274859906.

It is an arithmetic number, because the mean of its divisors is an integer number (5149713210096).

Almost surely, 2^{82375082673381} is an apocalyptic number.

82375082673381 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82375082673381 is a deficient number, since it is larger than the sum of its proper divisors (41218034368923).

82375082673381 is an equidigital number, since it uses as much as digits as its factorization.

82375082673381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549420583 (or 549420571 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 82375082673381 in words is "eighty-two trillion, three hundred seventy-five billion, eighty-two million, six hundred seventy-three thousand, three hundred eighty-one".