509164211 has 2 divisors, whose sum is σ = 509164212. Its totient is φ = 509164210.

The previous prime is 509164193. The next prime is 509164219. The reversal of 509164211 is 112461905.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 509164211 - 2¹⁸ = 508902067 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (509164219) 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, 254582105 + 254582106.

It is an arithmetic number, because the mean of its divisors is an integer number (254582106).

Almost surely, 2^509164211 is an apocalyptic number.

509164211 is a deficient number, since it is larger than the sum of its proper divisors (1).

509164211 is an equidigital number, since it uses as much as digits as its factorization.

509164211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 509164211 is about 22564.6673141883. The cubic root of 509164211 is about 798.5202913277.

The spelling of 509164211 in words is "five hundred nine million, one hundred sixty-four thousand, two hundred eleven".