506629 has 2 divisors, whose sum is σ = 506630. Its totient is φ = 506628.

The previous prime is 506609. The next prime is 506647. The reversal of 506629 is 926605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 497025 + 9604 = 705^2 + 98^2 .

It is a cyclic number.

It is not a de Polignac number, because 506629 - 2⁷ = 506501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506597 and 506606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506609) 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, 253314 + 253315.

It is an arithmetic number, because the mean of its divisors is an integer number (253315).

2⁵⁰⁶⁶²⁹ is an apocalyptic number.

It is an amenable number.

506629 is a deficient number, since it is larger than the sum of its proper divisors (1).

506629 is an equidigital number, since it uses as much as digits as its factorization.

506629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 506629 is about 711.7787577611. The cubic root of 506629 is about 79.7192764978.

The spelling of 506629 in words is "five hundred six thousand, six hundred twenty-nine".