513051613 has 2 divisors, whose sum is σ = 513051614. Its totient is φ = 513051612.

The previous prime is 513051611. The next prime is 513051659. The reversal of 513051613 is 316150315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 481275844 + 31775769 = 21938^2 + 5637^2 .

It is a cyclic number.

It is not a de Polignac number, because 513051613 - 2¹ = 513051611 is a prime.

Together with 513051611, 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 (513051611) 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, 256525806 + 256525807.

It is an arithmetic number, because the mean of its divisors is an integer number (256525807).

Almost surely, 2^513051613 is an apocalyptic number.

It is an amenable number.

513051613 is a deficient number, since it is larger than the sum of its proper divisors (1).

513051613 is an equidigital number, since it uses as much as digits as its factorization.

513051613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 513051613 is about 22650.6426619644. The cubic root of 513051613 is about 800.5473405417.

The spelling of 513051613 in words is "five hundred thirteen million, fifty-one thousand, six hundred thirteen".