509406593 has 2 divisors, whose sum is σ = 509406594. Its totient is φ = 509406592.

The previous prime is 509406589. The next prime is 509406617. The reversal of 509406593 is 395604905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 425720689 + 83685904 = 20633^2 + 9148^2 .

It is a cyclic number.

It is not a de Polignac number, because 509406593 - 2² = 509406589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 509406593.

It is not a weakly prime, because it can be changed into another prime (509406523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254703296 + 254703297.

It is an arithmetic number, because the mean of its divisors is an integer number (254703297).

Almost surely, 2^509406593 is an apocalyptic number.

It is an amenable number.

509406593 is a deficient number, since it is larger than the sum of its proper divisors (1).

509406593 is an equidigital number, since it uses as much as digits as its factorization.

509406593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145800, while the sum is 41.

The square root of 509406593 is about 22570.0375055072. The cubic root of 509406593 is about 798.6469801492.

The spelling of 509406593 in words is "five hundred nine million, four hundred six thousand, five hundred ninety-three".