509531201 has 2 divisors, whose sum is σ = 509531202. Its totient is φ = 509531200.

The previous prime is 509531179. The next prime is 509531249. The reversal of 509531201 is 102135905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 409050625 + 100480576 = 20225^2 + 10024^2 .

It is a cyclic number.

It is not a de Polignac number, because 509531201 - 2⁶ = 509531137 is a prime.

It is not a weakly prime, because it can be changed into another prime (509531101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254765600 + 254765601.

It is an arithmetic number, because the mean of its divisors is an integer number (254765601).

Almost surely, 2^509531201 is an apocalyptic number.

It is an amenable number.

509531201 is a deficient number, since it is larger than the sum of its proper divisors (1).

509531201 is an equidigital number, since it uses as much as digits as its factorization.

509531201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 509531201 is about 22572.7978106392. The cubic root of 509531201 is about 798.7120949258.

The spelling of 509531201 in words is "five hundred nine million, five hundred thirty-one thousand, two hundred one".