506565509 has 2 divisors, whose sum is σ = 506565510. Its totient is φ = 506565508.

The previous prime is 506565497. The next prime is 506565511. The reversal of 506565509 is 905565605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 363093025 + 143472484 = 19055^2 + 11978^2 .

It is a cyclic number.

It is not a de Polignac number, because 506565509 - 2⁸ = 506565253 is a prime.

It is a super-2 number, since 2×506565509² = 513217229816858162, which contains 22 as substring.

Together with 506565511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506565529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253282754 + 253282755.

It is an arithmetic number, because the mean of its divisors is an integer number (253282755).

Almost surely, 2^506565509 is an apocalyptic number.

It is an amenable number.

506565509 is a deficient number, since it is larger than the sum of its proper divisors (1).

506565509 is an equidigital number, since it uses as much as digits as its factorization.

506565509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 202500, while the sum is 41.

The square root of 506565509 is about 22507.0102190406. The cubic root of 506565509 is about 797.1594620549.

It can be divided in two parts, 50656 and 5509, that added together give a palindrome (56165).

The spelling of 506565509 in words is "five hundred six million, five hundred sixty-five thousand, five hundred nine".