505601 has 2 divisors, whose sum is σ = 505602. Its totient is φ = 505600.

The previous prime is 505573. The next prime is 505607. The reversal of 505601 is 106505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 361201 + 144400 = 601^2 + 380^2 .

It is a cyclic number.

It is not a de Polignac number, because 505601 - 2⁶ = 505537 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505601.

It is not a weakly prime, because it can be changed into another prime (505607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252800 + 252801.

It is an arithmetic number, because the mean of its divisors is an integer number (252801).

2⁵⁰⁵⁶⁰¹ is an apocalyptic number.

It is an amenable number.

505601 is a deficient number, since it is larger than the sum of its proper divisors (1).

505601 is an equidigital number, since it uses as much as digits as its factorization.

505601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 505601 is about 711.0562565648. The cubic root of 505601 is about 79.6653205735.

The spelling of 505601 in words is "five hundred five thousand, six hundred one".