509270137 has 2 divisors, whose sum is σ = 509270138. Its totient is φ = 509270136.

The previous prime is 509270101. The next prime is 509270159. The reversal of 509270137 is 731072905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 450118656 + 59151481 = 21216^2 + 7691^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-509270137 is a prime.

It is not a weakly prime, because it can be changed into another prime (509271137) 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 as a sum of consecutive naturals, namely, 254635068 + 254635069.

It is an arithmetic number, because the mean of its divisors is an integer number (254635069).

Almost surely, 2^509270137 is an apocalyptic number.

It is an amenable number.

509270137 is a deficient number, since it is larger than the sum of its proper divisors (1).

509270137 is an equidigital number, since it uses as much as digits as its factorization.

509270137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 509270137 is about 22567.0143572427. The cubic root of 509270137 is about 798.5756619355.

The spelling of 509270137 in words is "five hundred nine million, two hundred seventy thousand, one hundred thirty-seven".