10065506921 has 2 divisors, whose sum is σ = 10065506922. Its totient is φ = 10065506920.

The previous prime is 10065506903. The next prime is 10065506923. The reversal of 10065506921 is 12960556001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8900035600 + 1165471321 = 94340^2 + 34139^2 .

It is an emirp because it is prime and its reverse (12960556001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10065506921 - 2¹⁰ = 10065505897 is a prime.

Together with 10065506923, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10065506923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5032753460 + 5032753461.

It is an arithmetic number, because the mean of its divisors is an integer number (5032753461).

Almost surely, 2^10065506921 is an apocalyptic number.

It is an amenable number.

10065506921 is a deficient number, since it is larger than the sum of its proper divisors (1).

10065506921 is an equidigital number, since it uses as much as digits as its factorization.

10065506921 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16200, while the sum is 35.

The spelling of 10065506921 in words is "ten billion, sixty-five million, five hundred six thousand, nine hundred twenty-one".