509828905 has 8 divisors (see below), whose sum is σ = 613411200. Its totient is φ = 406785456.

The previous prime is 509828899. The next prime is 509828909.

509828905 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 509828905 - 2³ = 509828897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509828909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132625 + ... + 136414.

It is an arithmetic number, because the mean of its divisors is an integer number (76676400).

Almost surely, 2^509828905 is an apocalyptic number.

It is an amenable number.

509828905 is a deficient number, since it is larger than the sum of its proper divisors (103582295).

509828905 is a wasteful number, since it uses less digits than its factorization.

509828905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269423.

The product of its (nonzero) digits is 259200, while the sum is 46.

The square root of 509828905 is about 22579.3911565392. The cubic root of 509828905 is about 798.8676192527.

The spelling of 509828905 in words is "five hundred nine million, eight hundred twenty-eight thousand, nine hundred five".