10509530261 has 2 divisors, whose sum is σ = 10509530262. Its totient is φ = 10509530260.

The previous prime is 10509530179. The next prime is 10509530279. The reversal of 10509530261 is 16203590501.

10509530261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9313408036 + 1196122225 = 96506^2 + 34585^2 .

It is a cyclic number.

It is not a de Polignac number, because 10509530261 - 2¹⁰ = 10509529237 is a prime.

It is a super-2 number, since 2×10509530261² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10509533261) 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, 5254765130 + 5254765131.

It is an arithmetic number, because the mean of its divisors is an integer number (5254765131).

Almost surely, 2^10509530261 is an apocalyptic number.

It is an amenable number.

10509530261 is a deficient number, since it is larger than the sum of its proper divisors (1).

10509530261 is an equidigital number, since it uses as much as digits as its factorization.

10509530261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8100, while the sum is 32.

The spelling of 10509530261 in words is "ten billion, five hundred nine million, five hundred thirty thousand, two hundred sixty-one".