501052200 has 192 divisors, whose sum is σ = 1715515200. Its totient is φ = 119961600.

The previous prime is 501052199. The next prime is 501052219. The reversal of 501052200 is 2250105.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 501052200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 586974 + ... + 587826.

It is an arithmetic number, because the mean of its divisors is an integer number (8934975).

Almost surely, 2^501052200 is an apocalyptic number.

501052200 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 501052200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857757600).

501052200 is an abundant number, since it is smaller than the sum of its proper divisors (1214463000).

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

501052200 is a wasteful number, since it uses less digits than its factorization.

501052200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 501052200 is about 22384.1953172322. The cubic root of 501052200 is about 794.2568903576.

The spelling of 501052200 in words is "five hundred one million, fifty-two thousand, two hundred".