505513 has 2 divisors, whose sum is σ = 505514. Its totient is φ = 505512.

The previous prime is 505511. The next prime is 505523. The reversal of 505513 is 315505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300304 + 205209 = 548^2 + 453^2 .

It is a cyclic number.

It is not a de Polignac number, because 505513 - 2¹ = 505511 is a prime.

Together with 505511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (505511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252756 + 252757.

It is an arithmetic number, because the mean of its divisors is an integer number (252757).

2⁵⁰⁵⁵¹³ is an apocalyptic number.

It is an amenable number.

505513 is a deficient number, since it is larger than the sum of its proper divisors (1).

505513 is an equidigital number, since it uses as much as digits as its factorization.

505513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 375, while the sum is 19.

The square root of 505513 is about 710.9943740987. The cubic root of 505513 is about 79.6606983813.

The spelling of 505513 in words is "five hundred five thousand, five hundred thirteen".