10510508509 has 2 divisors, whose sum is σ = 10510508510. Its totient is φ = 10510508508.

The previous prime is 10510508473. The next prime is 10510508531. The reversal of 10510508509 is 90580501501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5325788484 + 5184720025 = 72978^2 + 72005^2 .

It is a cyclic number.

It is not a de Polignac number, because 10510508509 - 2²⁷ = 10376290781 is a prime.

It is a super-2 number, since 2×10510508509² (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 (10510508549) 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, 5255254254 + 5255254255.

It is an arithmetic number, because the mean of its divisors is an integer number (5255254255).

Almost surely, 2^10510508509 is an apocalyptic number.

It is an amenable number.

10510508509 is a deficient number, since it is larger than the sum of its proper divisors (1).

10510508509 is an equidigital number, since it uses as much as digits as its factorization.

10510508509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9000, while the sum is 34.

The spelling of 10510508509 in words is "ten billion, five hundred ten million, five hundred eight thousand, five hundred nine".