509252071 has 2 divisors, whose sum is σ = 509252072. Its totient is φ = 509252070.

The previous prime is 509252057. The next prime is 509252083. The reversal of 509252071 is 170252905.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 509252071 - 2⁹ = 509251559 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509252011) 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, 254626035 + 254626036.

It is an arithmetic number, because the mean of its divisors is an integer number (254626036).

Almost surely, 2^509252071 is an apocalyptic number.

509252071 is a deficient number, since it is larger than the sum of its proper divisors (1).

509252071 is an equidigital number, since it uses as much as digits as its factorization.

509252071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 509252071 is about 22566.6140792100. The cubic root of 509252071 is about 798.5662188538.

The spelling of 509252071 in words is "five hundred nine million, two hundred fifty-two thousand, seventy-one".