83732005880613 has 24 divisors (see below), whose sum is σ = 127331996450880. Its totient is φ = 52874991898560.

The previous prime is 83732005880609. The next prime is 83732005880641. The reversal of 83732005880613 is 31608850023738.

83732005880613 is a `hidden beast` number, since 8 + 37 + 3 + 20 + 0 + 588 + 0 + 6 + 1 + 3 = 666.

It is not a de Polignac number, because 83732005880613 - 2² = 83732005880609 is a prime.

It is a super-2 number, since 2×83732005880613² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83732005880613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83732005888613) 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, 37715056 + ... + 39873417.

It is an arithmetic number, because the mean of its divisors is an integer number (5305499852120).

Almost surely, 2^{83732005880613} is an apocalyptic number.

It is an amenable number.

83732005880613 is a deficient number, since it is larger than the sum of its proper divisors (43599990570267).

83732005880613 is a wasteful number, since it uses less digits than its factorization.

83732005880613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77594809 (or 77594806 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 83732005880613 in words is "eighty-three trillion, seven hundred thirty-two billion, five million, eight hundred eighty thousand, six hundred thirteen".