509825752 has 32 divisors (see below), whose sum is σ = 994590720. Its totient is φ = 244732320.

The previous prime is 509825741. The next prime is 509825753. The reversal of 509825752 is 257528905.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 509825699 and 509825708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509825753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23403 + ... + 39589.

It is an arithmetic number, because the mean of its divisors is an integer number (31080960).

Almost surely, 2^509825752 is an apocalyptic number.

It is an amenable number.

509825752 is a deficient number, since it is larger than the sum of its proper divisors (484764968).

509825752 is a wasteful number, since it uses less digits than its factorization.

509825752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16351 (or 16347 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 43.

The square root of 509825752 is about 22579.3213361252. The cubic root of 509825752 is about 798.8659724030.

The spelling of 509825752 in words is "five hundred nine million, eight hundred twenty-five thousand, seven hundred fifty-two".