1005005510561 has 12 divisors (see below), whose sum is σ = 1103588029440. Its totient is φ = 914631222960.

The previous prime is 1005005510533. The next prime is 1005005510581. The reversal of 1005005510561 is 1650155005001.

It is a happy number.

It is not a de Polignac number, because 1005005510561 - 2²⁶ = 1004938401697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005005510581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41866721 + ... + 41890718.

It is an arithmetic number, because the mean of its divisors is an integer number (91965669120).

Almost surely, 2^{1005005510561} is an apocalyptic number.

It is an amenable number.

1005005510561 is a deficient number, since it is larger than the sum of its proper divisors (98582518879).

1005005510561 is an equidigital number, since it uses as much as digits as its factorization.

1005005510561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83757536 (or 83757523 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 1005005510561 in words is "one trillion, five billion, five million, five hundred ten thousand, five hundred sixty-one".