10082652901 has 2 divisors, whose sum is σ = 10082652902. Its totient is φ = 10082652900.

The previous prime is 10082652793. The next prime is 10082652911. The reversal of 10082652901 is 10925628001.

10082652901 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., 6914088801 + 3168564100 = 83151^2 + 56290^2 .

It is a cyclic number.

It is not a de Polignac number, because 10082652901 - 2⁹ = 10082652389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10082652911) 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, 5041326450 + 5041326451.

It is an arithmetic number, because the mean of its divisors is an integer number (5041326451).

Almost surely, 2^10082652901 is an apocalyptic number.

It is an amenable number.

10082652901 is a deficient number, since it is larger than the sum of its proper divisors (1).

10082652901 is an equidigital number, since it uses as much as digits as its factorization.

10082652901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 10082652901 in words is "ten billion, eighty-two million, six hundred fifty-two thousand, nine hundred one".