509404919 has 2 divisors, whose sum is σ = 509404920. Its totient is φ = 509404918.

The previous prime is 509404873. The next prime is 509404969. The reversal of 509404919 is 919404905.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 509404919 - 2²⁴ = 492627703 is a prime.

It is a super-2 number, since 2×509404919² = 518986743002793122, which contains 22 as substring.

It is a Chen prime.

It is equal to p_26824739 and since 509404919 and 26824739 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509404969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254702459 + 254702460.

It is an arithmetic number, because the mean of its divisors is an integer number (254702460).

Almost surely, 2^509404919 is an apocalyptic number.

509404919 is a deficient number, since it is larger than the sum of its proper divisors (1).

509404919 is an equidigital number, since it uses as much as digits as its factorization.

509404919 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 509404919 is about 22570.0004209127. Note that the first 3 decimals coincide. The cubic root of 509404919 is about 798.6461053166.

The spelling of 509404919 in words is "five hundred nine million, four hundred four thousand, nine hundred nineteen".