509374561 has 2 divisors, whose sum is σ = 509374562. Its totient is φ = 509374560.

The previous prime is 509374559. The next prime is 509374577. The reversal of 509374561 is 165473905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 414896161 + 94478400 = 20369^2 + 9720^2 .

It is a cyclic number.

It is not a de Polignac number, because 509374561 - 2¹ = 509374559 is a prime.

Together with 509374559, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (509375561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254687280 + 254687281.

It is an arithmetic number, because the mean of its divisors is an integer number (254687281).

Almost surely, 2^509374561 is an apocalyptic number.

It is an amenable number.

509374561 is a deficient number, since it is larger than the sum of its proper divisors (1).

509374561 is an equidigital number, since it uses as much as digits as its factorization.

509374561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 509374561 is about 22569.3278809981. The cubic root of 509374561 is about 798.6302398893.

The spelling of 509374561 in words is "five hundred nine million, three hundred seventy-four thousand, five hundred sixty-one".