83253110085 has 24 divisors (see below), whose sum is σ = 144319152120. Its totient is φ = 44397424512.

The previous prime is 83253110081. The next prime is 83253110089. The reversal of 83253110085 is 58001135238.

83253110085 is a `hidden beast` number, since 8 + 32 + 531 + 10 + 0 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (83253110081) and next prime (83253110089).

It can be written as a sum of positive squares in 4 ways, for example, as 328116996 + 82924993089 = 18114^2 + 287967^2 .

It is not a de Polignac number, because 83253110085 - 2² = 83253110081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83253110081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421251 + ... + 586479.

It is an arithmetic number, because the mean of its divisors is an integer number (6013298005).

Almost surely, 2^83253110085 is an apocalyptic number.

It is an amenable number.

83253110085 is a deficient number, since it is larger than the sum of its proper divisors (61066042035).

83253110085 is a wasteful number, since it uses less digits than its factorization.

83253110085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176437 (or 176434 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 83253110085 in words is "eighty-three billion, two hundred fifty-three million, one hundred ten thousand, eighty-five".