82128782331 has 64 divisors (see below), whose sum is σ = 130133381760. Its totient is φ = 51012403200.

The previous prime is 82128782293. The next prime is 82128782381. The reversal of 82128782331 is 13328782128.

It is not a de Polignac number, because 82128782331 - 2¹⁰ = 82128781307 is a prime.

It is a super-2 number, since 2×82128782331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82128782381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25214455 + ... + 25217711.

It is an arithmetic number, because the mean of its divisors is an integer number (2033334090).

Almost surely, 2^82128782331 is an apocalyptic number.

82128782331 is a deficient number, since it is larger than the sum of its proper divisors (48004599429).

82128782331 is a wasteful number, since it uses less digits than its factorization.

82128782331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821 (or 3815 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 82128782331 in words is "eighty-two billion, one hundred twenty-eight million, seven hundred eighty-two thousand, three hundred thirty-one".