505252729 has 2 divisors, whose sum is σ = 505252730. Its totient is φ = 505252728.

The previous prime is 505252687. The next prime is 505252751. The reversal of 505252729 is 927252505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 335732329 + 169520400 = 18323^2 + 13020^2 .

It is a cyclic number.

It is not a de Polignac number, because 505252729 - 2⁹ = 505252217 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is equal to p_26617492 and since 505252729 and 26617492 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (505256729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252626364 + 252626365.

It is an arithmetic number, because the mean of its divisors is an integer number (252626365).

Almost surely, 2^505252729 is an apocalyptic number.

It is an amenable number.

505252729 is a deficient number, since it is larger than the sum of its proper divisors (1).

505252729 is an equidigital number, since it uses as much as digits as its factorization.

505252729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 505252729 is about 22477.8274973361. The cubic root of 505252729 is about 796.4702452990.

The spelling of 505252729 in words is "five hundred five million, two hundred fifty-two thousand, seven hundred twenty-nine".