10267566241 has 9 divisors (see below), whose sum is σ = 10375377649. Its totient is φ = 10160866804.

The previous prime is 10267566223. The next prime is 10267566269. The reversal of 10267566241 is 14266576201.

It is a happy number.

The square root of 10267566241 is 101329.

It is a perfect power (a square), and thus also a powerful number.

10267566241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10267566241 - 2¹⁷ = 10267435169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10267566194 and 10267566203.

It is not an unprimeable number, because it can be changed into a prime (10267536241) 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 in 8 ways as a sum of consecutive naturals, for example, 10841730 + ... + 10842676.

Almost surely, 2^10267566241 is an apocalyptic number.

10267566241 is the 101329-th square number.

10267566241 is the 50665-th centered octagonal number.

It is an amenable number.

10267566241 is a deficient number, since it is larger than the sum of its proper divisors (107811408).

10267566241 is an frugal number, since it uses more digits than its factorization.

10267566241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 10267566241 in words is "ten billion, two hundred sixty-seven million, five hundred sixty-six thousand, two hundred forty-one".