82180835253 has 40 divisors (see below), whose sum is σ = 135153147360. Its totient is φ = 49349567520.

The previous prime is 82180835249. The next prime is 82180835273. The reversal of 82180835253 is 35253808128.

It is not a de Polignac number, because 82180835253 - 2² = 82180835249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82180835199 and 82180835208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82180835203) 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 39 ways as a sum of consecutive naturals, for example, 325975 + ... + 520212.

It is an arithmetic number, because the mean of its divisors is an integer number (3378828684).

Almost surely, 2^82180835253 is an apocalyptic number.

It is an amenable number.

82180835253 is a deficient number, since it is larger than the sum of its proper divisors (52972312107).

82180835253 is a wasteful number, since it uses less digits than its factorization.

82180835253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846319 (or 846310 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 82180835253 in words is "eighty-two billion, one hundred eighty million, eight hundred thirty-five thousand, two hundred fifty-three".