1005505603601 has 4 divisors (see below), whose sum is σ = 1005706991652. Its totient is φ = 1005304215552.

The previous prime is 1005505603589. The next prime is 1005505603603. The reversal of 1005505603601 is 1063065055001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 451582656001 + 553922947600 = 671999^2 + 744260^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005505603601 - 2¹⁸ = 1005505341457 is a prime.

It is a super-2 number, since 2×1005505603601² (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 (1005505603603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100686536 + ... + 100696521.

It is an arithmetic number, because the mean of its divisors is an integer number (251426747913).

Almost surely, 2^{1005505603601} is an apocalyptic number.

It is an amenable number.

1005505603601 is a deficient number, since it is larger than the sum of its proper divisors (201388051).

1005505603601 is an equidigital number, since it uses as much as digits as its factorization.

1005505603601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201388050.

The product of its (nonzero) digits is 13500, while the sum is 32.

The spelling of 1005505603601 in words is "one trillion, five billion, five hundred five million, six hundred three thousand, six hundred one".