10007561 has 2 divisors, whose sum is σ = 10007562. Its totient is φ = 10007560.

The previous prime is 10007539. The next prime is 10007563. The reversal of 10007561 is 16570001.

10007561 is digitally balanced in base 3, 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., 5359225 + 4648336 = 2315^2 + 2156^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10007561 is a prime.

Together with 10007563, 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 (10007563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003780 + 5003781.

It is an arithmetic number, because the mean of its divisors is an integer number (5003781).

Almost surely, 2^10007561 is an apocalyptic number.

It is an amenable number.

10007561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007561 is an equidigital number, since it uses as much as digits as its factorization.

10007561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 10007561 is about 3163.4729333440. The cubic root of 10007561 is about 215.4977542594.

Adding to 10007561 its reverse (16570001), we get a palindrome (26577562).

The spelling of 10007561 in words is "ten million, seven thousand, five hundred sixty-one".