509375561 has 2 divisors, whose sum is σ = 509375562. Its totient is φ = 509375560.

The previous prime is 509375521. The next prime is 509375563. The reversal of 509375561 is 165573905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 504451600 + 4923961 = 22460^2 + 2219^2 .

It is a cyclic number.

It is not a de Polignac number, because 509375561 - 2¹⁴ = 509359177 is a prime.

Together with 509375563, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (509375563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254687780 + 254687781.

It is an arithmetic number, because the mean of its divisors is an integer number (254687781).

Almost surely, 2^509375561 is an apocalyptic number.

It is an amenable number.

509375561 is a deficient number, since it is larger than the sum of its proper divisors (1).

509375561 is an equidigital number, since it uses as much as digits as its factorization.

509375561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141750, while the sum is 41.

The square root of 509375561 is about 22569.3500349478. The cubic root of 509375561 is about 798.6307625104.

The spelling of 509375561 in words is "five hundred nine million, three hundred seventy-five thousand, five hundred sixty-one".