82755110031 has 8 divisors (see below), whose sum is σ = 120371069184. Its totient is φ = 50154612120.

The previous prime is 82755109979. The next prime is 82755110041. The reversal of 82755110031 is 13001155728.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82755110031 - 2⁷ = 82755109903 is a prime.

It is a super-2 number, since 2×82755110031² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 2507730607 = 82755110031 / (8 + 2 + 7 + 5 + 5 + 1 + 1 + 0 + 0 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 82755109974 and 82755110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82755110041) 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 7 ways as a sum of consecutive naturals, for example, 1253865271 + ... + 1253865336.

It is an arithmetic number, because the mean of its divisors is an integer number (15046383648).

Almost surely, 2^82755110031 is an apocalyptic number.

82755110031 is a deficient number, since it is larger than the sum of its proper divisors (37615959153).

82755110031 is a wasteful number, since it uses less digits than its factorization.

82755110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507730621.

The product of its (nonzero) digits is 8400, while the sum is 33.

Adding to 82755110031 its reverse (13001155728), we get a palindrome (95756265759).

The spelling of 82755110031 in words is "eighty-two billion, seven hundred fifty-five million, one hundred ten thousand, thirty-one".