509129712 has 240 divisors, whose sum is σ = 1819883520. Its totient is φ = 134182656.

The previous prime is 509129671. The next prime is 509129723. The reversal of 509129712 is 217921905.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353089 + ... + 354527.

It is an arithmetic number, because the mean of its divisors is an integer number (7582848).

Almost surely, 2^509129712 is an apocalyptic number.

509129712 is a gapful number since it is divisible by the number (52) 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 509129712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909941760).

509129712 is an abundant number, since it is smaller than the sum of its proper divisors (1310753808).

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

509129712 is a wasteful number, since it uses less digits than its factorization.

509129712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 509129712 is about 22563.9028538948. The cubic root of 509129712 is about 798.5022560370.

The spelling of 509129712 in words is "five hundred nine million, one hundred twenty-nine thousand, seven hundred twelve".