1005005601 has 6 divisors (see below), whose sum is σ = 1451674770. Its totient is φ = 670003728.

The previous prime is 1005005591. The next prime is 1005005611. The reversal of 1005005601 is 1065005001.

1005005601 is a `hidden beast` number, since 10 + 0 + 50 + 0 + 5 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (1005005591) and next prime (1005005611).

It can be written as a sum of positive squares in only one way, i.e., 823403025 + 181602576 = 28695^2 + 13476^2 .

It is not a de Polignac number, because 1005005601 - 2⁶ = 1005005537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005005611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55833636 + ... + 55833653.

It is an arithmetic number, because the mean of its divisors is an integer number (241945795).

Almost surely, 2^1005005601 is an apocalyptic number.

It is an amenable number.

1005005601 is a deficient number, since it is larger than the sum of its proper divisors (446669169).

1005005601 is a wasteful number, since it uses less digits than its factorization.

1005005601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111667295 (or 111667292 counting only the distinct ones).

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

The square root of 1005005601 is about 31701.8233071853. The cubic root of 1005005601 is about 1001.6657573783.

The spelling of 1005005601 in words is "one billion, five million, five thousand, six hundred one".