506357609 has 2 divisors, whose sum is σ = 506357610. Its totient is φ = 506357608.

The previous prime is 506357573. The next prime is 506357641. The reversal of 506357609 is 906753605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 333172009 + 173185600 = 18253^2 + 13160^2 .

It is a cyclic number.

It is not a de Polignac number, because 506357609 - 2²⁰ = 505309033 is a prime.

It is not a weakly prime, because it can be changed into another prime (506357669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253178804 + 253178805.

It is an arithmetic number, because the mean of its divisors is an integer number (253178805).

Almost surely, 2^506357609 is an apocalyptic number.

It is an amenable number.

506357609 is a deficient number, since it is larger than the sum of its proper divisors (1).

506357609 is an equidigital number, since it uses as much as digits as its factorization.

506357609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 170100, while the sum is 41.

The square root of 506357609 is about 22502.3911840498. The cubic root of 506357609 is about 797.0503928251.

The spelling of 506357609 in words is "five hundred six million, three hundred fifty-seven thousand, six hundred nine".