10009640068261 has 2 divisors, whose sum is σ = 10009640068262. Its totient is φ = 10009640068260.

The previous prime is 10009640068217. The next prime is 10009640068273. The reversal of 10009640068261 is 16286004690001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6730755696900 + 3278884371361 = 2594370^2 + 1810769^2 .

It is a cyclic number.

It is not a de Polignac number, because 10009640068261 - 2⁴³ = 1213547046053 is a prime.

It is a super-2 number, since 2×10009640068261² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10009640068361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5004820034130 + 5004820034131.

It is an arithmetic number, because the mean of its divisors is an integer number (5004820034131).

Almost surely, 2^{10009640068261} is an apocalyptic number.

It is an amenable number.

10009640068261 is a deficient number, since it is larger than the sum of its proper divisors (1).

10009640068261 is an equidigital number, since it uses as much as digits as its factorization.

10009640068261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 10009640068261 in words is "ten trillion, nine billion, six hundred forty million, sixty-eight thousand, two hundred sixty-one".