504823313952 has 480 divisors, whose sum is σ = 1605729820464. Its totient is φ = 155005747200.

The previous prime is 504823313941. The next prime is 504823313983. The reversal of 504823313952 is 259313328405.

504823313952 is a `hidden beast` number, since 5 + 0 + 482 + 33 + 139 + 5 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 417062806416 + 87760507536 = 645804^2 + 296244^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 504823313898 and 504823313907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 787555552 + ... + 787556192.

Almost surely, 2^504823313952 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 504823313952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802864910232).

504823313952 is an abundant number, since it is smaller than the sum of its proper divisors (1100906506512).

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

504823313952 is a wasteful number, since it uses less digits than its factorization.

504823313952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 504823313952 in words is "five hundred four billion, eight hundred twenty-three million, three hundred thirteen thousand, nine hundred fifty-two".