509470561 has 2 divisors, whose sum is σ = 509470562. Its totient is φ = 509470560.

The previous prime is 509470537. The next prime is 509470573. The reversal of 509470561 is 165074905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 508953600 + 516961 = 22560^2 + 719^2 .

It is a cyclic number.

It is not a de Polignac number, because 509470561 - 2⁵ = 509470529 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 509470561.

It is not a weakly prime, because it can be changed into another prime (509480561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254735280 + 254735281.

It is an arithmetic number, because the mean of its divisors is an integer number (254735281).

Almost surely, 2^509470561 is an apocalyptic number.

It is an amenable number.

509470561 is a deficient number, since it is larger than the sum of its proper divisors (1).

509470561 is an equidigital number, since it uses as much as digits as its factorization.

509470561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 509470561 is about 22571.4545610158. The cubic root of 509470561 is about 798.6804083985.

The spelling of 509470561 in words is "five hundred nine million, four hundred seventy thousand, five hundred sixty-one".