82127491353 has 16 divisors (see below), whose sum is σ = 121945026240. Its totient is φ = 54628060032.

The previous prime is 82127491331. The next prime is 82127491363. The reversal of 82127491353 is 35319472128.

It is a happy number.

82127491353 is a `hidden beast` number, since 8 + 2 + 127 + 491 + 35 + 3 = 666.

It is not a de Polignac number, because 82127491353 - 2²² = 82123297049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82127491299 and 82127491308.

It is not an unprimeable number, because it can be changed into a prime (82127491363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3421176 + ... + 3445097.

It is an arithmetic number, because the mean of its divisors is an integer number (7621564140).

Almost surely, 2^82127491353 is an apocalyptic number.

It is an amenable number.

82127491353 is a deficient number, since it is larger than the sum of its proper divisors (39817534887).

82127491353 is a wasteful number, since it uses less digits than its factorization.

82127491353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866725 (or 6866719 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 82127491353 in words is "eighty-two billion, one hundred twenty-seven million, four hundred ninety-one thousand, three hundred fifty-three".