500752252000 has 384 divisors, whose sum is σ = 1651949365248. Its totient is φ = 144071424000.

The previous prime is 500752251983. The next prime is 500752252009. The reversal of 500752252000 is 252257005.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 500752252000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500752252009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3941469 + ... + 4066531.

It is an arithmetic number, because the mean of its divisors is an integer number (4301951472).

Almost surely, 2^500752252000 is an apocalyptic number.

500752252000 is a gapful number since it is divisible by the number (50) 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 500752252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825974682624).

500752252000 is an abundant number, since it is smaller than the sum of its proper divisors (1151197113248).

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

500752252000 is a wasteful number, since it uses less digits than its factorization.

500752252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125119 (or 125101 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The spelling of 500752252000 in words is "five hundred billion, seven hundred fifty-two million, two hundred fifty-two thousand".