10016561 has 2 divisors, whose sum is σ = 10016562. Its totient is φ = 10016560.

The previous prime is 10016557. The next prime is 10016563. The reversal of 10016561 is 16561001.

It is a happy number.

10016561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8439025 + 1577536 = 2905^2 + 1256^2 .

It is a cyclic number.

It is not a de Polignac number, because 10016561 - 2² = 10016557 is a prime.

Together with 10016563, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10016563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5008280 + 5008281.

It is an arithmetic number, because the mean of its divisors is an integer number (5008281).

Almost surely, 2^10016561 is an apocalyptic number.

It is an amenable number.

10016561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10016561 is an equidigital number, since it uses as much as digits as its factorization.

10016561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 10016561 is about 3164.8951009473. The cubic root of 10016561 is about 215.5623353855.

Adding to 10016561 its reverse (16561001), we get a palindrome (26577562).

It can be divided in two parts, 100 and 16561, that added together give a palindrome (16661).

The spelling of 10016561 in words is "ten million, sixteen thousand, five hundred sixty-one".