82938735201 has 24 divisors (see below), whose sum is σ = 132789345024. Its totient is φ = 45864735840.

The previous prime is 82938735199. The next prime is 82938735233. The reversal of 82938735201 is 10253783928.

It is a happy number.

It is not a de Polignac number, because 82938735201 - 2¹ = 82938735199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82938735301) 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 23 ways as a sum of consecutive naturals, for example, 9095590 + ... + 9104703.

It is an arithmetic number, because the mean of its divisors is an integer number (5532889376).

Almost surely, 2^82938735201 is an apocalyptic number.

It is an amenable number.

82938735201 is a deficient number, since it is larger than the sum of its proper divisors (49850609823).

82938735201 is a wasteful number, since it uses less digits than its factorization.

82938735201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18200341 (or 18200334 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 82938735201 in words is "eighty-two billion, nine hundred thirty-eight million, seven hundred thirty-five thousand, two hundred one".