509505961 has 2 divisors, whose sum is σ = 509505962. Its totient is φ = 509505960.

The previous prime is 509505949. The next prime is 509505967. The reversal of 509505961 is 169505905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 459888025 + 49617936 = 21445^2 + 7044^2 .

It is a cyclic number.

It is not a de Polignac number, because 509505961 - 2⁷ = 509505833 is a prime.

It is not a weakly prime, because it can be changed into another prime (509505967) 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, 254752980 + 254752981.

It is an arithmetic number, because the mean of its divisors is an integer number (254752981).

Almost surely, 2^509505961 is an apocalyptic number.

It is an amenable number.

509505961 is a deficient number, since it is larger than the sum of its proper divisors (1).

509505961 is an equidigital number, since it uses as much as digits as its factorization.

509505961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60750, while the sum is 40.

The square root of 509505961 is about 22572.2387237066. The cubic root of 509505961 is about 798.6989064458.

The spelling of 509505961 in words is "five hundred nine million, five hundred five thousand, nine hundred sixty-one".