10416753821 has 2 divisors, whose sum is σ = 10416753822. Its totient is φ = 10416753820.

The previous prime is 10416753709. The next prime is 10416753829. The reversal of 10416753821 is 12835761401.

10416753821 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., 5804306596 + 4612447225 = 76186^2 + 67915^2 .

It is a cyclic number.

It is not a de Polignac number, because 10416753821 - 2¹⁸ = 10416491677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10416753829) 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, 5208376910 + 5208376911.

It is an arithmetic number, because the mean of its divisors is an integer number (5208376911).

Almost surely, 2^10416753821 is an apocalyptic number.

It is an amenable number.

10416753821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10416753821 is an equidigital number, since it uses as much as digits as its factorization.

10416753821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 10416753821 in words is "ten billion, four hundred sixteen million, seven hundred fifty-three thousand, eight hundred twenty-one".