509308249 has 2 divisors, whose sum is σ = 509308250. Its totient is φ = 509308248.

The previous prime is 509308223. The next prime is 509308259. The reversal of 509308249 is 942803905.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 508818249 + 490000 = 22557^2 + 700^2 .

It is a cyclic number.

It is not a de Polignac number, because 509308249 - 2⁹ = 509307737 is a prime.

It is not a weakly prime, because it can be changed into another prime (509308259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254654124 + 254654125.

It is an arithmetic number, because the mean of its divisors is an integer number (254654125).

Almost surely, 2^509308249 is an apocalyptic number.

It is an amenable number.

509308249 is a deficient number, since it is larger than the sum of its proper divisors (1).

509308249 is an equidigital number, since it uses as much as digits as its factorization.

509308249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 509308249 is about 22567.8587597495. The cubic root of 509308249 is about 798.5955823106.

The spelling of 509308249 in words is "five hundred nine million, three hundred eight thousand, two hundred forty-nine".