509141 has 6 divisors (see below), whose sum is σ = 521526. Its totient is φ = 497000.

The previous prime is 509137. The next prime is 509147. The reversal of 509141 is 141905.

It can be written as a sum of positive squares in only one way, i.e., 504100 + 5041 = 710^2 + 71^2 .

It is not a de Polignac number, because 509141 - 2² = 509137 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509147) 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 in 5 ways as a sum of consecutive naturals, for example, 4991 + ... + 5091.

It is an arithmetic number, because the mean of its divisors is an integer number (86921).

2⁵⁰⁹¹⁴¹ is an apocalyptic number.

It is an amenable number.

509141 is a deficient number, since it is larger than the sum of its proper divisors (12385).

509141 is an equidigital number, since it uses as much as digits as its factorization.

509141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 509141 is about 713.5411690996. The cubic root of 509141 is about 79.8508157236.

Subtracting from 509141 its reverse (141905), we obtain a square (367236 = 606²).

The spelling of 509141 in words is "five hundred nine thousand, one hundred forty-one".