1005510110561 has 4 divisors (see below), whose sum is σ = 1096920120624. Its totient is φ = 914100100500.

The previous prime is 1005510110413. The next prime is 1005510110711. The reversal of 1005510110561 is 1650110155001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1005510110561 - 2¹⁰ = 1005510109537 is a prime.

It is a super-2 number, since 2×1005510110561² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005510110561.

It is not an unprimeable number, because it can be changed into a prime (1005510113561) 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, 45705005015 + ... + 45705005036.

It is an arithmetic number, because the mean of its divisors is an integer number (274230030156).

Almost surely, 2^{1005510110561} is an apocalyptic number.

1005510110561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005510110561 is a deficient number, since it is larger than the sum of its proper divisors (91410010063).

1005510110561 is an equidigital number, since it uses as much as digits as its factorization.

1005510110561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91410010062.

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 1005510110561 its reverse (1650110155001), we get a palindrome (2655620265562).

The spelling of 1005510110561 in words is "one trillion, five billion, five hundred ten million, one hundred ten thousand, five hundred sixty-one".