152729009 has 2 divisors, whose sum is σ = 152729010. Its totient is φ = 152729008.

The previous prime is 152728981. The next prime is 152729021. The reversal of 152729009 is 900927251.

152729009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 147088384 + 5640625 = 12128^2 + 2375^2 .

It is a cyclic number.

It is not a de Polignac number, because 152729009 - 2⁸ = 152728753 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 152729009.

It is not a weakly prime, because it can be changed into another prime (152729029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76364504 + 76364505.

It is an arithmetic number, because the mean of its divisors is an integer number (76364505).

Almost surely, 2^152729009 is an apocalyptic number.

It is an amenable number.

152729009 is a deficient number, since it is larger than the sum of its proper divisors (1).

152729009 is an equidigital number, since it uses as much as digits as its factorization.

152729009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 152729009 is about 12358.3578601690. The cubic root of 152729009 is about 534.5321662078.

The spelling of 152729009 in words is "one hundred fifty-two million, seven hundred twenty-nine thousand, nine".