509109457 has 2 divisors, whose sum is σ = 509109458. Its totient is φ = 509109456.

The previous prime is 509109401. The next prime is 509109479. The reversal of 509109457 is 754901905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 475283601 + 33825856 = 21801^2 + 5816^2 .

It is a cyclic number.

It is not a de Polignac number, because 509109457 - 2⁷ = 509109329 is a prime.

It is not a weakly prime, because it can be changed into another prime (509109487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254554728 + 254554729.

It is an arithmetic number, because the mean of its divisors is an integer number (254554729).

Almost surely, 2^509109457 is an apocalyptic number.

It is an amenable number.

509109457 is a deficient number, since it is larger than the sum of its proper divisors (1).

509109457 is an equidigital number, since it uses as much as digits as its factorization.

509109457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 509109457 is about 22563.4540130717. The cubic root of 509109457 is about 798.4916668052.

The spelling of 509109457 in words is "five hundred nine million, one hundred nine thousand, four hundred fifty-seven".