509141024 has 192 divisors, whose sum is σ = 1323786240. Its totient is φ = 187453440.

The previous prime is 509141021. The next prime is 509141033. The reversal of 509141024 is 420141905.

It is a junction number, because it is equal to n+sod(n) for n = 509140984 and 509141002.

It is not an unprimeable number, because it can be changed into a prime (509141021) 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 31 ways as a sum of consecutive naturals, for example, 2242799 + ... + 2243025.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2^509141024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661893120).

509141024 is an abundant number, since it is smaller than the sum of its proper divisors (814645216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509141024 is a wasteful number, since it uses less digits than its factorization.

509141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 509141024 is about 22564.1535183574. The cubic root of 509141024 is about 798.5081697825.

Adding to 509141024 its reverse (420141905), we get a palindrome (929282929).

The spelling of 509141024 in words is "five hundred nine million, one hundred forty-one thousand, twenty-four".