513633013 has 2 divisors, whose sum is σ = 513633014. Its totient is φ = 513633012.

The previous prime is 513633011. The next prime is 513633041. The reversal of 513633013 is 310336315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 352012644 + 161620369 = 18762^2 + 12713^2 .

It is a cyclic number.

It is not a de Polignac number, because 513633013 - 2¹ = 513633011 is a prime.

Together with 513633011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513633011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256816506 + 256816507.

It is an arithmetic number, because the mean of its divisors is an integer number (256816507).

Almost surely, 2^513633013 is an apocalyptic number.

It is an amenable number.

513633013 is a deficient number, since it is larger than the sum of its proper divisors (1).

513633013 is an equidigital number, since it uses as much as digits as its factorization.

513633013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 25.

The square root of 513633013 is about 22663.4731010055. The cubic root of 513633013 is about 800.8496249565.

Adding to 513633013 its reverse (310336315), we get a palindrome (823969328).

The spelling of 513633013 in words is "five hundred thirteen million, six hundred thirty-three thousand, thirteen".