509232228050 has 162 divisors, whose sum is σ = 1194163442253. Its totient is φ = 161018282880.

The previous prime is 509232228023. The next prime is 509232228053. The reversal of 509232228050 is 50822232905.

It can be written as a sum of positive squares in 14 ways, for example, as 439037434801 + 70194793249 = 662599^2 + 264943^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=504595.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 509232227995 and 509232228013.

It is not an unprimeable number, because it can be changed into a prime (509232228053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 459180896 + ... + 459182004.

Almost surely, 2^509232228050 is an apocalyptic number.

509232228050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

509232228050 is an abundant number, since it is smaller than the sum of its proper divisors (684931214203).

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

509232228050 is a wasteful number, since it uses less digits than its factorization.

509232228050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 509232228050 in words is "five hundred nine billion, two hundred thirty-two million, two hundred twenty-eight thousand, fifty".