10005005601 has 16 divisors (see below), whose sum is σ = 14831188800. Its totient is φ = 6665972544.

The previous prime is 10005005599. The next prime is 10005005603. The reversal of 10005005601 is 10650050001.

10005005601 is a `hidden beast` number, since 10 + 0 + 0 + 50 + 0 + 5 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (10005005599) and next prime (10005005603).

It is not a de Polignac number, because 10005005601 - 2¹ = 10005005599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10005005603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66136 + ... + 156153.

It is an arithmetic number, because the mean of its divisors is an integer number (926949300).

Almost surely, 2^10005005601 is an apocalyptic number.

It is an amenable number.

10005005601 is a deficient number, since it is larger than the sum of its proper divisors (4826183199).

10005005601 is a wasteful number, since it uses less digits than its factorization.

10005005601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223965 (or 223959 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 10005005601 its reverse (10650050001), we get a palindrome (20655055602).

The spelling of 10005005601 in words is "ten billion, five million, five thousand, six hundred one".