501120000 has 440 divisors, whose sum is σ = 1918448400. Its totient is φ = 129024000.

The previous prime is 501119977. The next prime is 501120019. The reversal of 501120000 is 21105.

It is a happy number.

It is a super-2 number, since 2×501120000² = 502242508800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17279986 + ... + 17280014.

It is an arithmetic number, because the mean of its divisors is an integer number (4360110).

Almost surely, 2^501120000 is an apocalyptic number.

501120000 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 501120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959224200).

501120000 is an abundant number, since it is smaller than the sum of its proper divisors (1417328400).

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

501120000 is an equidigital number, since it uses as much as digits as its factorization.

501120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 501120000 is about 22385.7097274132. The cubic root of 501120000 is about 794.2927137631.

Adding to 501120000 its reverse (21105), we get a palindrome (501141105).

The spelling of 501120000 in words is "five hundred one million, one hundred twenty thousand".