83877635313 has 12 divisors (see below), whose sum is σ = 121169417460. Its totient is φ = 55912500576.

The previous prime is 83877635291. The next prime is 83877635357. The reversal of 83877635313 is 31353677838.

83877635313 is a `hidden beast` number, since 8 + 38 + 7 + 76 + 3 + 531 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24805305009 + 59072330304 = 157497^2 + 243048^2 .

It is not a de Polignac number, because 83877635313 - 2¹³ = 83877627121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83877635313.

It is not an unprimeable number, because it can be changed into a prime (83877635393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403018 + ... + 574611.

It is an arithmetic number, because the mean of its divisors is an integer number (10097451455).

Almost surely, 2^83877635313 is an apocalyptic number.

It is an amenable number.

83877635313 is a deficient number, since it is larger than the sum of its proper divisors (37291782147).

83877635313 is a wasteful number, since it uses less digits than its factorization.

83877635313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987168 (or 987165 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 83877635313 in words is "eighty-three billion, eight hundred seventy-seven million, six hundred thirty-five thousand, three hundred thirteen".