1005506060011 has 16 divisors (see below), whose sum is σ = 1053534772800. Its totient is φ = 958402368000.

The previous prime is 1005506059997. The next prime is 1005506060017. The reversal of 1005506060011 is 1100606055001.

It is a cyclic number.

It is not a de Polignac number, because 1005506060011 - 2¹³ = 1005506051819 is a prime.

It is a super-2 number, since 2×1005506060011² (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 (1005506060017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1319911 + ... + 1937311.

It is an arithmetic number, because the mean of its divisors is an integer number (65845923300).

Almost surely, 2^{1005506060011} is an apocalyptic number.

1005506060011 is a deficient number, since it is larger than the sum of its proper divisors (48028712789).

1005506060011 is an equidigital number, since it uses as much as digits as its factorization.

1005506060011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618150.

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

The spelling of 1005506060011 in words is "one trillion, five billion, five hundred six million, sixty thousand, eleven".