509404873 has 2 divisors, whose sum is σ = 509404874. Its totient is φ = 509404872.

The previous prime is 509404867. The next prime is 509404919. The reversal of 509404873 is 378404905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 410143504 + 99261369 = 20252^2 + 9963^2 .

It is a cyclic number.

It is not a de Polignac number, because 509404873 - 2¹⁷ = 509273801 is a prime.

It is a super-2 number, since 2×509404873² = 518986649272292258, which contains 22 as substring.

It is equal to p_26824738 and since 509404873 and 26824738 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (509404843) 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, 254702436 + 254702437.

It is an arithmetic number, because the mean of its divisors is an integer number (254702437).

Almost surely, 2^509404873 is an apocalyptic number.

It is an amenable number.

509404873 is a deficient number, since it is larger than the sum of its proper divisors (1).

509404873 is an equidigital number, since it uses as much as digits as its factorization.

509404873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 509404873 is about 22569.9994018609. Note that the first 3 decimals coincide. The cubic root of 509404873 is about 798.6460812769.

The spelling of 509404873 in words is "five hundred nine million, four hundred four thousand, eight hundred seventy-three".