10267088641 has 2 divisors, whose sum is σ = 10267088642. Its totient is φ = 10267088640.

The previous prime is 10267088639. The next prime is 10267088731. The reversal of 10267088641 is 14688076201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9191248641 + 1075840000 = 95871^2 + 32800^2 .

It is a cyclic number.

It is not a de Polignac number, because 10267088641 - 2¹ = 10267088639 is a prime.

It is a super-4 number, since 4×10267088641⁴ (a number of 41 digits) contains 4444 as substring.

Together with 10267088639, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10267088141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5133544320 + 5133544321.

It is an arithmetic number, because the mean of its divisors is an integer number (5133544321).

Almost surely, 2^10267088641 is an apocalyptic number.

It is an amenable number.

10267088641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10267088641 is an equidigital number, since it uses as much as digits as its factorization.

10267088641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 10267088641 in words is "ten billion, two hundred sixty-seven million, eighty-eight thousand, six hundred forty-one".