10006261 has 2 divisors, whose sum is σ = 10006262. Its totient is φ = 10006260.

The previous prime is 10006207. The next prime is 10006267. The reversal of 10006261 is 16260001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9036036 + 970225 = 3006^2 + 985^2 .

It is an emirp because it is prime and its reverse (16260001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10006261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10006267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003130 + 5003131.

It is an arithmetic number, because the mean of its divisors is an integer number (5003131).

Almost surely, 2^10006261 is an apocalyptic number.

It is an amenable number.

10006261 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006261 is an equidigital number, since it uses as much as digits as its factorization.

10006261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10006261 is about 3163.2674562863. The cubic root of 10006261 is about 215.4884226746.

Adding to 10006261 its reverse (16260001), we get a palindrome (26266262).

The spelling of 10006261 in words is "ten million, six thousand, two hundred sixty-one".