509946900641 has 2 divisors, whose sum is σ = 509946900642. Its totient is φ = 509946900640.

The previous prime is 509946900629. The next prime is 509946900647. The reversal of 509946900641 is 146009649905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 499679334400 + 10267566241 = 706880^2 + 101329^2 .

It is a cyclic number.

It is not a de Polignac number, because 509946900641 - 2⁶ = 509946900577 is a prime.

It is not a weakly prime, because it can be changed into another prime (509946900647) 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, 254973450320 + 254973450321.

It is an arithmetic number, because the mean of its divisors is an integer number (254973450321).

Almost surely, 2^509946900641 is an apocalyptic number.

It is an amenable number.

509946900641 is a deficient number, since it is larger than the sum of its proper divisors (1).

509946900641 is an equidigital number, since it uses as much as digits as its factorization.

509946900641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2099520, while the sum is 53.

The spelling of 509946900641 in words is "five hundred nine billion, nine hundred forty-six million, nine hundred thousand, six hundred forty-one".