509627216 has 20 divisors (see below), whose sum is σ = 1128460512. Its totient is φ = 218411616.

The previous prime is 509627189. The next prime is 509627219. The reversal of 509627216 is 612726905.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 509627216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509627219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2275010 + ... + 2275233.

Almost surely, 2^509627216 is an apocalyptic number.

509627216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

509627216 is an abundant number, since it is smaller than the sum of its proper divisors (618833296).

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

509627216 is a wasteful number, since it uses less digits than its factorization.

509627216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550258 (or 4550252 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 509627216 is about 22574.9244959978. The cubic root of 509627216 is about 798.7622609903.

The spelling of 509627216 in words is "five hundred nine million, six hundred twenty-seven thousand, two hundred sixteen".