503005313 has 2 divisors, whose sum is σ = 503005314. Its totient is φ = 503005312.

The previous prime is 503005309. The next prime is 503005379. The reversal of 503005313 is 313500305.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 270503809 + 232501504 = 16447^2 + 15248^2 .

It is a cyclic number.

It is not a de Polignac number, because 503005313 - 2² = 503005309 is a prime.

It is not a weakly prime, because it can be changed into another prime (503005303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 251502656 + 251502657.

It is an arithmetic number, because the mean of its divisors is an integer number (251502657).

Almost surely, 2^503005313 is an apocalyptic number.

It is an amenable number.

503005313 is a deficient number, since it is larger than the sum of its proper divisors (1).

503005313 is an equidigital number, since it uses as much as digits as its factorization.

503005313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 675, while the sum is 20.

The square root of 503005313 is about 22427.7799391736. The cubic root of 503005313 is about 795.2875628627.

Adding to 503005313 its reverse (313500305), we get a palindrome (816505618).

The spelling of 503005313 in words is "five hundred three million, five thousand, three hundred thirteen".