509827121 has 2 divisors, whose sum is σ = 509827122. Its totient is φ = 509827120.

The previous prime is 509827079. The next prime is 509827139. The reversal of 509827121 is 121728905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 359519521 + 150307600 = 18961^2 + 12260^2 .

It is a cyclic number.

It is not a de Polignac number, because 509827121 - 2²⁶ = 442718257 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (509824121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254913560 + 254913561.

It is an arithmetic number, because the mean of its divisors is an integer number (254913561).

Almost surely, 2^509827121 is an apocalyptic number.

It is an amenable number.

509827121 is a deficient number, since it is larger than the sum of its proper divisors (1).

509827121 is an equidigital number, since it uses as much as digits as its factorization.

509827121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 509827121 is about 22579.3516514536. The cubic root of 509827121 is about 798.8666874490.

The spelling of 509827121 in words is "five hundred nine million, eight hundred twenty-seven thousand, one hundred twenty-one".