509101 has 2 divisors, whose sum is σ = 509102. Its totient is φ = 509100.

The previous prime is 509087. The next prime is 509123. The reversal of 509101 is 101905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260100 + 249001 = 510^2 + 499^2 .

It is a cyclic number.

It is not a de Polignac number, because 509101 - 2⁷ = 508973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254550 + 254551.

It is an arithmetic number, because the mean of its divisors is an integer number (254551).

2⁵⁰⁹¹⁰¹ is an apocalyptic number.

It is an amenable number.

509101 is a deficient number, since it is larger than the sum of its proper divisors (1).

509101 is an equidigital number, since it uses as much as digits as its factorization.

509101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 509101 is about 713.5131393324. The cubic root of 509101 is about 79.8487245437.

The spelling of 509101 in words is "five hundred nine thousand, one hundred one".