1005561000601 has 8 divisors (see below), whose sum is σ = 1016900640360. Its totient is φ = 994222276608.

The previous prime is 1005561000533. The next prime is 1005561000641. The reversal of 1005561000601 is 1060001655001.

It can be written as a sum of positive squares in 4 ways, for example, as 409569280576 + 595991720025 = 639976^2 + 772005^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005561000601 - 2⁹ = 1005561000089 is a prime.

It is a super-2 number, since 2×1005561000601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005561000641) 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 7 ways as a sum of consecutive naturals, for example, 2113945 + ... + 2545561.

It is an arithmetic number, because the mean of its divisors is an integer number (127112580045).

Almost surely, 2^{1005561000601} is an apocalyptic number.

It is an amenable number.

1005561000601 is a deficient number, since it is larger than the sum of its proper divisors (11339639759).

1005561000601 is an equidigital number, since it uses as much as digits as its factorization.

1005561000601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457883.

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 1005561000601 its reverse (1060001655001), we get a palindrome (2065562655602).

The spelling of 1005561000601 in words is "one trillion, five billion, five hundred sixty-one million, six hundred one", and thus it is an aban number.