513067813 has 2 divisors, whose sum is σ = 513067814. Its totient is φ = 513067812.

The previous prime is 513067783. The next prime is 513067817. The reversal of 513067813 is 318760315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 459587844 + 53479969 = 21438^2 + 7313^2 .

It is a cyclic number.

It is not a de Polignac number, because 513067813 - 2⁵ = 513067781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513067817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256533906 + 256533907.

It is an arithmetic number, because the mean of its divisors is an integer number (256533907).

Almost surely, 2^513067813 is an apocalyptic number.

It is an amenable number.

513067813 is a deficient number, since it is larger than the sum of its proper divisors (1).

513067813 is an equidigital number, since it uses as much as digits as its factorization.

513067813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 513067813 is about 22651.0002648890. Note that the first 3 decimals coincide. The cubic root of 513067813 is about 800.5557664194. Note that the first 3 decimals are identical.

The spelling of 513067813 in words is "five hundred thirteen million, sixty-seven thousand, eight hundred thirteen".