8284713052 has 96 divisors (see below), whose sum is σ = 18585616896. Its totient is φ = 3137356800.

The previous prime is 8284713043. The next prime is 8284713067. The reversal of 8284713052 is 2503174828.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8284712996 and 8284713014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3875728 + ... + 3877864.

It is an arithmetic number, because the mean of its divisors is an integer number (193600176).

Almost surely, 2^8284713052 is an apocalyptic number.

8284713052 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8284713052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9292808448).

8284713052 is an abundant number, since it is smaller than the sum of its proper divisors (10300903844).

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

8284713052 is a wasteful number, since it uses less digits than its factorization.

8284713052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 8284713052 is about 91020.3990982241. The cubic root of 8284713052 is about 2023.4500603911.

The spelling of 8284713052 in words is "eight billion, two hundred eighty-four million, seven hundred thirteen thousand, fifty-two".