509591409001 has 2 divisors, whose sum is σ = 509591409002. Its totient is φ = 509591409000.

The previous prime is 509591408999. The next prime is 509591409007. The reversal of 509591409001 is 100904195905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 434117583376 + 75473825625 = 658876^2 + 274725^2 .

It is a cyclic number.

It is not a de Polignac number, because 509591409001 - 2¹ = 509591408999 is a prime.

Together with 509591408999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (509591409007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254795704500 + 254795704501.

It is an arithmetic number, because the mean of its divisors is an integer number (254795704501).

Almost surely, 2^509591409001 is an apocalyptic number.

It is an amenable number.

509591409001 is a deficient number, since it is larger than the sum of its proper divisors (1).

509591409001 is an equidigital number, since it uses as much as digits as its factorization.

509591409001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72900, while the sum is 43.

The spelling of 509591409001 in words is "five hundred nine billion, five hundred ninety-one million, four hundred nine thousand, one".