813083499488520 has 768 divisors, whose sum is σ = 2962471704192000. Its totient is φ = 199379415223296.

The previous prime is 813083499488509. The next prime is 813083499488543. The reversal of 813083499488520 is 25884994380318.

813083499488520 is a `hidden beast` number, since 8 + 1 + 3 + 0 + 8 + 3 + 4 + 9 + 94 + 8 + 8 + 520 = 666.

It is a super-2 number, since 2×813083499488520² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84528896271 + ... + 84528905889.

It is an arithmetic number, because the mean of its divisors is an integer number (3857385031500).

Almost surely, 2^{813083499488520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813083499488520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481235852096000).

813083499488520 is an abundant number, since it is smaller than the sum of its proper divisors (2149388204703480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

813083499488520 is a wasteful number, since it uses less digits than its factorization.

813083499488520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12144 (or 12128 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 813083499488520 in words is "eight hundred thirteen trillion, eighty-three billion, four hundred ninety-nine million, four hundred eighty-eight thousand, five hundred twenty".