509496448032041 has 2 divisors, whose sum is σ = 509496448032042. Its totient is φ = 509496448032040.

The previous prime is 509496448031957. The next prime is 509496448032049. The reversal of 509496448032041 is 140230844694905.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 463817774072041 + 45678673960000 = 21536429^2 + 6758600^2 .

It is a cyclic number.

It is not a de Polignac number, because 509496448032041 - 2¹⁰ = 509496448031017 is a prime.

It is not a weakly prime, because it can be changed into another prime (509496448032049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254748224016020 + 254748224016021.

It is an arithmetic number, because the mean of its divisors is an integer number (254748224016021).

Almost surely, 2^{509496448032041} is an apocalyptic number.

It is an amenable number.

509496448032041 is a deficient number, since it is larger than the sum of its proper divisors (1).

509496448032041 is an equidigital number, since it uses as much as digits as its factorization.

509496448032041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29859840, while the sum is 59.

The spelling of 509496448032041 in words is "five hundred nine trillion, four hundred ninety-six billion, four hundred forty-eight million, thirty-two thousand, forty-one".