506758009 has 2 divisors, whose sum is σ = 506758010. Its totient is φ = 506758008.

The previous prime is 506757983. The next prime is 506758033. The reversal of 506758009 is 900857605.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 434847609 + 71910400 = 20853^2 + 8480^2 .

It is a cyclic number.

It is not a de Polignac number, because 506758009 - 2¹¹ = 506755961 is a prime.

It is not a weakly prime, because it can be changed into another prime (506755009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253379004 + 253379005.

It is an arithmetic number, because the mean of its divisors is an integer number (253379005).

Almost surely, 2^506758009 is an apocalyptic number.

It is an amenable number.

506758009 is a deficient number, since it is larger than the sum of its proper divisors (1).

506758009 is an equidigital number, since it uses as much as digits as its factorization.

506758009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 506758009 is about 22511.2862582306. The cubic root of 506758009 is about 797.2604254774.

The spelling of 506758009 in words is "five hundred six million, seven hundred fifty-eight thousand, nine".