505157729 has 2 divisors, whose sum is σ = 505157730. Its totient is φ = 505157728.

The previous prime is 505157683. The next prime is 505157753. The reversal of 505157729 is 927751505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 337714129 + 167443600 = 18377^2 + 12940^2 .

It is a cyclic number.

It is not a de Polignac number, because 505157729 - 2¹⁶ = 505092193 is a prime.

It is not a weakly prime, because it can be changed into another prime (505157129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252578864 + 252578865.

It is an arithmetic number, because the mean of its divisors is an integer number (252578865).

Almost surely, 2^505157729 is an apocalyptic number.

It is an amenable number.

505157729 is a deficient number, since it is larger than the sum of its proper divisors (1).

505157729 is an equidigital number, since it uses as much as digits as its factorization.

505157729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 110250, while the sum is 41.

The square root of 505157729 is about 22475.7142044474. The cubic root of 505157729 is about 796.4203234732.

The spelling of 505157729 in words is "five hundred five million, one hundred fifty-seven thousand, seven hundred twenty-nine".