509413441 has 2 divisors, whose sum is σ = 509413442. Its totient is φ = 509413440.

The previous prime is 509413433. The next prime is 509413451. The reversal of 509413441 is 144314905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 418611600 + 90801841 = 20460^2 + 9529^2 .

It is a cyclic number.

It is not a de Polignac number, because 509413441 - 2³ = 509413433 is a prime.

It is not a weakly prime, because it can be changed into another prime (509413451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254706720 + 254706721.

It is an arithmetic number, because the mean of its divisors is an integer number (254706721).

Almost surely, 2^509413441 is an apocalyptic number.

It is an amenable number.

509413441 is a deficient number, since it is larger than the sum of its proper divisors (1).

509413441 is an equidigital number, since it uses as much as digits as its factorization.

509413441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 509413441 is about 22570.1892105494. The cubic root of 509413441 is about 798.6505588949.

The spelling of 509413441 in words is "five hundred nine million, four hundred thirteen thousand, four hundred forty-one".