509925120 has 216 divisors, whose sum is σ = 1691033904. Its totient is φ = 130940928.

The previous prime is 509925113. The next prime is 509925121. The reversal of 509925120 is 21529905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509925121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5256912 + ... + 5257008.

Almost surely, 2^509925120 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 509925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845516952).

509925120 is an abundant number, since it is smaller than the sum of its proper divisors (1181108784).

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

509925120 is an equidigital number, since it uses as much as digits as its factorization.

509925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 509925120 is about 22581.5216493486. The cubic root of 509925120 is about 798.9178702373.

The spelling of 509925120 in words is "five hundred nine million, nine hundred twenty-five thousand, one hundred twenty".