10509827369 has 2 divisors, whose sum is σ = 10509827370. Its totient is φ = 10509827368.

The previous prime is 10509827323. The next prime is 10509827387. The reversal of 10509827369 is 96372890501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6530740969 + 3979086400 = 80813^2 + 63080^2 .

It is a cyclic number.

It is not a de Polignac number, because 10509827369 - 2¹⁶ = 10509761833 is a prime.

It is a super-2 number, since 2×10509827369² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10509827399) 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, 5254913684 + 5254913685.

It is an arithmetic number, because the mean of its divisors is an integer number (5254913685).

Almost surely, 2^10509827369 is an apocalyptic number.

It is an amenable number.

10509827369 is a deficient number, since it is larger than the sum of its proper divisors (1).

10509827369 is an equidigital number, since it uses as much as digits as its factorization.

10509827369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 50.

The spelling of 10509827369 in words is "ten billion, five hundred nine million, eight hundred twenty-seven thousand, three hundred sixty-nine".