10005601 has 2 divisors, whose sum is σ = 10005602. Its totient is φ = 10005600.

The previous prime is 10005581. The next prime is 10005607. The reversal of 10005601 is 10650001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7974976 + 2030625 = 2824^2 + 1425^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005601 - 2⁷ = 10005473 is a prime.

It is a super-2 number, since 2×10005601² = 200224102742402, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10005607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002800 + 5002801.

It is an arithmetic number, because the mean of its divisors is an integer number (5002801).

Almost surely, 2^10005601 is an apocalyptic number.

It is an amenable number.

10005601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005601 is an equidigital number, since it uses as much as digits as its factorization.

10005601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10005601 is about 3163.1631320563. The cubic root of 10005601 is about 215.4836847915.

Adding to 10005601 its reverse (10650001), we get a palindrome (20655602).

The spelling of 10005601 in words is "ten million, five thousand, six hundred one".