513750313 has 2 divisors, whose sum is σ = 513750314. Its totient is φ = 513750312.

The previous prime is 513750277. The next prime is 513750317. The reversal of 513750313 is 313057315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 473845824 + 39904489 = 21768^2 + 6317^2 .

It is a cyclic number.

It is not a de Polignac number, because 513750313 - 2⁹ = 513749801 is a prime.

It is not a weakly prime, because it can be changed into another prime (513750317) 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, 256875156 + 256875157.

It is an arithmetic number, because the mean of its divisors is an integer number (256875157).

Almost surely, 2^513750313 is an apocalyptic number.

It is an amenable number.

513750313 is a deficient number, since it is larger than the sum of its proper divisors (1).

513750313 is an equidigital number, since it uses as much as digits as its factorization.

513750313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4725, while the sum is 28.

The square root of 513750313 is about 22666.0608178836. The cubic root of 513750313 is about 800.9105845057.

The spelling of 513750313 in words is "five hundred thirteen million, seven hundred fifty thousand, three hundred thirteen".