1002065852304 has 480 divisors, whose sum is σ = 3307979525760. Its totient is φ = 279886233600.

The previous prime is 1002065852267. The next prime is 1002065852311. The reversal of 1002065852304 is 4032585602001.

1002065852304 is a `hidden beast` number, since 100 + 20 + 6 + 5 + 8 + 523 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 563907864 + ... + 563909640.

It is an arithmetic number, because the mean of its divisors is an integer number (6891624012).

Almost surely, 2^{1002065852304} 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 1002065852304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653989762880).

1002065852304 is an abundant number, since it is smaller than the sum of its proper divisors (2305913673456).

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

1002065852304 is a wasteful number, since it uses less digits than its factorization.

1002065852304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1002065852304 in words is "one trillion, two billion, sixty-five million, eight hundred fifty-two thousand, three hundred four".