505613 has 2 divisors, whose sum is σ = 505614. Its totient is φ = 505612.

The previous prime is 505607. The next prime is 505619. The reversal of 505613 is 316505.

It is a balanced prime because it is at equal distance from previous prime (505607) and next prime (505619).

It can be written as a sum of positive squares in only one way, i.e., 310249 + 195364 = 557^2 + 442^2 .

It is a cyclic number.

It is not a de Polignac number, because 505613 - 2⁸ = 505357 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252806 + 252807.

It is an arithmetic number, because the mean of its divisors is an integer number (252807).

2⁵⁰⁵⁶¹³ is an apocalyptic number.

It is an amenable number.

505613 is a deficient number, since it is larger than the sum of its proper divisors (1).

505613 is an equidigital number, since it uses as much as digits as its factorization.

505613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 505613 is about 711.0646946657. The cubic root of 505613 is about 79.6659508309.

The spelling of 505613 in words is "five hundred five thousand, six hundred thirteen".