509351328 has 144 divisors (see below), whose sum is σ = 1551303936. Its totient is φ = 164229120.

The previous prime is 509351321. The next prime is 509351347. The reversal of 509351328 is 823153905.

509351328 is a `hidden beast` number, since 50 + 93 + 513 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 509351292 and 509351301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509351321) 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, 240000 + ... + 242112.

It is an arithmetic number, because the mean of its divisors is an integer number (10772944).

Almost surely, 2^509351328 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 509351328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775651968).

509351328 is an abundant number, since it is smaller than the sum of its proper divisors (1041952608).

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

509351328 is a wasteful number, since it uses less digits than its factorization.

509351328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 509351328 is about 22568.8131721630. The cubic root of 509351328 is about 798.6180976401.

The spelling of 509351328 in words is "five hundred nine million, three hundred fifty-one thousand, three hundred twenty-eight".