509745152 has 144 divisors (see below), whose sum is σ = 1236165840. Its totient is φ = 205701120.

The previous prime is 509745133. The next prime is 509745161. The reversal of 509745152 is 251547905.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13776878 + ... + 13776914.

It is an arithmetic number, because the mean of its divisors is an integer number (8584485).

Almost surely, 2^509745152 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 509745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618082920).

509745152 is an abundant number, since it is smaller than the sum of its proper divisors (726420688).

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

509745152 is an equidigital number, since it uses as much as digits as its factorization.

509745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 38.

The square root of 509745152 is about 22577.5364466542. The cubic root of 509745152 is about 798.8238717503.

The spelling of 509745152 in words is "five hundred nine million, seven hundred forty-five thousand, one hundred fifty-two".