509308241 has 8 divisors (see below), whose sum is σ = 548719080. Its totient is φ = 469930752.

The previous prime is 509308223. The next prime is 509308249. The reversal of 509308241 is 142803905.

It can be written as a sum of positive squares in 4 ways, for example, as 1256641 + 508051600 = 1121^2 + 22540^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-509308241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 509308198 and 509308207.

It is not an unprimeable number, because it can be changed into a prime (509308249) 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 in 7 ways as a sum of consecutive naturals, for example, 29915 + ... + 43743.

It is an arithmetic number, because the mean of its divisors is an integer number (68589885).

Almost surely, 2^509308241 is an apocalyptic number.

It is an amenable number.

509308241 is a deficient number, since it is larger than the sum of its proper divisors (39410839).

509308241 is a wasteful number, since it uses less digits than its factorization.

509308241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16675.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 509308241 is about 22567.8585825062. The cubic root of 509308241 is about 798.5955781293.

The spelling of 509308241 in words is "five hundred nine million, three hundred eight thousand, two hundred forty-one".