506605633 has 2 divisors, whose sum is σ = 506605634. Its totient is φ = 506605632.

The previous prime is 506605601. The next prime is 506605637. The reversal of 506605633 is 336506605.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 258952464 + 247653169 = 16092^2 + 15737^2 .

It is a cyclic number.

It is not a de Polignac number, because 506605633 - 2⁵ = 506605601 is a prime.

It is not a weakly prime, because it can be changed into another prime (506605637) 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, 253302816 + 253302817.

It is an arithmetic number, because the mean of its divisors is an integer number (253302817).

Almost surely, 2^506605633 is an apocalyptic number.

It is an amenable number.

506605633 is a deficient number, since it is larger than the sum of its proper divisors (1).

506605633 is an equidigital number, since it uses as much as digits as its factorization.

506605633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48600, while the sum is 34.

The square root of 506605633 is about 22507.9015681160. The cubic root of 506605633 is about 797.1805086133.

The spelling of 506605633 in words is "five hundred six million, six hundred five thousand, six hundred thirty-three".