10267536241 has 2 divisors, whose sum is σ = 10267536242. Its totient is φ = 10267536240.

The previous prime is 10267536239. The next prime is 10267536313. The reversal of 10267536241 is 14263576201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5349459600 + 4918076641 = 73140^2 + 70129^2 .

It is a cyclic number.

It is not a de Polignac number, because 10267536241 - 2¹ = 10267536239 is a prime.

Together with 10267536239, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10267536241.

It is not a weakly prime, because it can be changed into another prime (10267536341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5133768120 + 5133768121.

It is an arithmetic number, because the mean of its divisors is an integer number (5133768121).

Almost surely, 2^10267536241 is an apocalyptic number.

It is an amenable number.

10267536241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10267536241 is an equidigital number, since it uses as much as digits as its factorization.

10267536241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 10267536241 in words is "ten billion, two hundred sixty-seven million, five hundred thirty-six thousand, two hundred forty-one".