505123 has 2 divisors, whose sum is σ = 505124. Its totient is φ = 505122.

The previous prime is 505117. The next prime is 505129. The reversal of 505123 is 321505.

It is a balanced prime because it is at equal distance from previous prime (505117) and next prime (505129).

It is a cyclic number.

It is not a de Polignac number, because 505123 - 2⁵ = 505091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505097 and 505106.

It is not a weakly prime, because it can be changed into another prime (505129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252561 + 252562.

It is an arithmetic number, because the mean of its divisors is an integer number (252562).

2⁵⁰⁵¹²³ is an apocalyptic number.

505123 is a deficient number, since it is larger than the sum of its proper divisors (1).

505123 is an equidigital number, since it uses as much as digits as its factorization.

505123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 505123 is about 710.7200574066. The cubic root of 505123 is about 79.6402072068.

Adding to 505123 its reverse (321505), we get a palindrome (826628).

The spelling of 505123 in words is "five hundred five thousand, one hundred twenty-three".