509132641 has 2 divisors, whose sum is σ = 509132642. Its totient is φ = 509132640.

The previous prime is 509132639. The next prime is 509132651. The reversal of 509132641 is 146231905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 450288400 + 58844241 = 21220^2 + 7671^2 .

It is a cyclic number.

It is not a de Polignac number, because 509132641 - 2¹ = 509132639 is a prime.

It is a super-2 number, since 2×509132641² = 518432092263269762, which contains 22 as substring.

Together with 509132639, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (509132651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254566320 + 254566321.

It is an arithmetic number, because the mean of its divisors is an integer number (254566321).

Almost surely, 2^509132641 is an apocalyptic number.

It is an amenable number.

509132641 is a deficient number, since it is larger than the sum of its proper divisors (1).

509132641 is an equidigital number, since it uses as much as digits as its factorization.

509132641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 509132641 is about 22563.9677583531. The cubic root of 509132641 is about 798.5037872831.

The spelling of 509132641 in words is "five hundred nine million, one hundred thirty-two thousand, six hundred forty-one".