1005510600001 has 16 divisors (see below), whose sum is σ = 1067626137600. Its totient is φ = 943725707008.

The previous prime is 1005510599993. The next prime is 1005510600007. The reversal of 1005510600001 is 1000060155001.

It is a cyclic number.

It is not a de Polignac number, because 1005510600001 - 2³ = 1005510599993 is a prime.

It is a super-2 number, since 2×1005510600001² (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 (1005510600007) 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 15 ways as a sum of consecutive naturals, for example, 52527690 + ... + 52546828.

It is an arithmetic number, because the mean of its divisors is an integer number (66726633600).

Almost surely, 2^{1005510600001} is an apocalyptic number.

It is an amenable number.

1005510600001 is a deficient number, since it is larger than the sum of its proper divisors (62115537599).

1005510600001 is a wasteful number, since it uses less digits than its factorization.

1005510600001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27608.

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 1005510600001 its reverse (1000060155001), we get a palindrome (2005570755002).

The spelling of 1005510600001 in words is "one trillion, five billion, five hundred ten million, six hundred thousand, one".