506361313 has 2 divisors, whose sum is σ = 506361314. Its totient is φ = 506361312.

The previous prime is 506361299. The next prime is 506361341. The reversal of 506361313 is 313163605.

It is an a-pointer prime, because the next prime (506361341) can be obtained adding 506361313 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 414814689 + 91546624 = 20367^2 + 9568^2 .

It is a cyclic number.

It is not a de Polignac number, because 506361313 - 2²⁵ = 472806881 is a prime.

It is not a weakly prime, because it can be changed into another prime (506362313) 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, 253180656 + 253180657.

It is an arithmetic number, because the mean of its divisors is an integer number (253180657).

Almost surely, 2^506361313 is an apocalyptic number.

It is an amenable number.

506361313 is a deficient number, since it is larger than the sum of its proper divisors (1).

506361313 is an equidigital number, since it uses as much as digits as its factorization.

506361313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 506361313 is about 22502.4734862637. The cubic root of 506361313 is about 797.0523362918.

The spelling of 506361313 in words is "five hundred six million, three hundred sixty-one thousand, three hundred thirteen".