10052261321 has 2 divisors, whose sum is σ = 10052261322. Its totient is φ = 10052261320.

The previous prime is 10052261293. The next prime is 10052261357. The reversal of 10052261321 is 12316225001.

10052261321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8178670096 + 1873591225 = 90436^2 + 43285^2 .

It is a cyclic number.

It is not a de Polignac number, because 10052261321 - 2¹⁰ = 10052260297 is a prime.

It is a super-5 number, since 5×10052261321⁵ (a number of 51 digits) contains 55555 as substring.

It is not a weakly prime, because it can be changed into another prime (10052261371) 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, 5026130660 + 5026130661.

It is an arithmetic number, because the mean of its divisors is an integer number (5026130661).

Almost surely, 2^10052261321 is an apocalyptic number.

It is an amenable number.

10052261321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10052261321 is an equidigital number, since it uses as much as digits as its factorization.

10052261321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 10052261321 its reverse (12316225001), we get a palindrome (22368486322).

The spelling of 10052261321 in words is "ten billion, fifty-two million, two hundred sixty-one thousand, three hundred twenty-one".