509221000 has 32 divisors (see below), whose sum is σ = 1191579480. Its totient is φ = 203688000.

The previous prime is 509220991. The next prime is 509221001. The reversal of 509221000 is 122905.

It can be written as a sum of positive squares in 4 ways, for example, as 19838116 + 489382884 = 4454^2 + 22122^2 .

It is not an unprimeable number, because it can be changed into a prime (509221001) 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, 253611 + ... + 255610.

Almost surely, 2^509221000 is an apocalyptic number.

509221000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

509221000 is an abundant number, since it is smaller than the sum of its proper divisors (682358480).

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

509221000 is a wasteful number, since it uses less digits than its factorization.

509221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509242 (or 509228 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 509221000 is about 22565.9256402214. The cubic root of 509221000 is about 798.5499775482.

Adding to 509221000 its reverse (122905), we get a palindrome (509343905).

The spelling of 509221000 in words is "five hundred nine million, two hundred twenty-one thousand".