10509508561 has 2 divisors, whose sum is σ = 10509508562. Its totient is φ = 10509508560.

The previous prime is 10509508549. The next prime is 10509508577. The reversal of 10509508561 is 16580590501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10412977936 + 96530625 = 102044^2 + 9825^2 .

It is a cyclic number.

It is not a de Polignac number, because 10509508561 - 2⁹ = 10509508049 is a prime.

It is a super-2 number, since 2×10509508561² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10509508501) 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, 5254754280 + 5254754281.

It is an arithmetic number, because the mean of its divisors is an integer number (5254754281).

Almost surely, 2^10509508561 is an apocalyptic number.

It is an amenable number.

10509508561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10509508561 is an equidigital number, since it uses as much as digits as its factorization.

10509508561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 40.

The spelling of 10509508561 in words is "ten billion, five hundred nine million, five hundred eight thousand, five hundred sixty-one".