505743313 has 2 divisors, whose sum is σ = 505743314. Its totient is φ = 505743312.

The previous prime is 505743307. The next prime is 505743347. The reversal of 505743313 is 313347505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 503912704 + 1830609 = 22448^2 + 1353^2 .

It is a cyclic number.

It is not a de Polignac number, because 505743313 - 2⁵ = 505743281 is a prime.

It is not a weakly prime, because it can be changed into another prime (505747313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252871656 + 252871657.

It is an arithmetic number, because the mean of its divisors is an integer number (252871657).

Almost surely, 2^505743313 is an apocalyptic number.

It is an amenable number.

505743313 is a deficient number, since it is larger than the sum of its proper divisors (1).

505743313 is an equidigital number, since it uses as much as digits as its factorization.

505743313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18900, while the sum is 31.

The square root of 505743313 is about 22488.7374701205. The cubic root of 505743313 is about 796.7279441631.

The spelling of 505743313 in words is "five hundred five million, seven hundred forty-three thousand, three hundred thirteen".