509957111 has 2 divisors, whose sum is σ = 509957112. Its totient is φ = 509957110.

The previous prime is 509957101. The next prime is 509957113. The reversal of 509957111 is 111759905.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 509957111 - 2¹⁰ = 509956087 is a prime.

It is a Sophie Germain prime.

Together with 509957113, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509957113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254978555 + 254978556.

It is an arithmetic number, because the mean of its divisors is an integer number (254978556).

Almost surely, 2^509957111 is an apocalyptic number.

509957111 is a deficient number, since it is larger than the sum of its proper divisors (1).

509957111 is an equidigital number, since it uses as much as digits as its factorization.

509957111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14175, while the sum is 38.

The square root of 509957111 is about 22582.2299828870. The cubic root of 509957111 is about 798.9345770348.

The spelling of 509957111 in words is "five hundred nine million, nine hundred fifty-seven thousand, one hundred eleven".