10006561 has 4 divisors (see below), whose sum is σ = 10048324. Its totient is φ = 9964800.

The previous prime is 10006547. The next prime is 10006567. The reversal of 10006561 is 16560001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8088336 + 1918225 = 2844^2 + 1385^2 .

It is a cyclic number.

It is not a de Polignac number, because 10006561 - 2¹¹ = 10004513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10006567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20520 + ... + 21001.

It is an arithmetic number, because the mean of its divisors is an integer number (2512081).

Almost surely, 2^10006561 is an apocalyptic number.

It is an amenable number.

10006561 is a deficient number, since it is larger than the sum of its proper divisors (41763).

10006561 is an equidigital number, since it uses as much as digits as its factorization.

10006561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41762.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 10006561 is about 3163.3148752535. The cubic root of 10006561 is about 215.4905761890.

Adding to 10006561 its reverse (16560001), we get a palindrome (26566562).

The spelling of 10006561 in words is "ten million, six thousand, five hundred sixty-one".