509557 has 2 divisors, whose sum is σ = 509558. Its totient is φ = 509556.

The previous prime is 509549. The next prime is 509563. The reversal of 509557 is 755905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 463761 + 45796 = 681^2 + 214^2 .

It is a cyclic number.

It is not a de Polignac number, because 509557 - 2³ = 509549 is a prime.

509557 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (507557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254778 + 254779.

It is an arithmetic number, because the mean of its divisors is an integer number (254779).

2⁵⁰⁹⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

509557 is a deficient number, since it is larger than the sum of its proper divisors (1).

509557 is an equidigital number, since it uses as much as digits as its factorization.

509557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7875, while the sum is 31.

The square root of 509557 is about 713.8326134326. The cubic root of 509557 is about 79.8725575046.

The spelling of 509557 in words is "five hundred nine thousand, five hundred fifty-seven".