11005055501 has 16 divisors (see below), whose sum is σ = 12159175680. Its totient is φ = 9876894720.

The previous prime is 11005055491. The next prime is 11005055513. The reversal of 11005055501 is 10555050011.

It is a happy number.

It is not a de Polignac number, because 11005055501 - 2⁶ = 11005055437 is a prime.

It is a super-3 number, since 3×11005055501³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005055561) 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 15 ways as a sum of consecutive naturals, for example, 650516 + ... + 667218.

It is an arithmetic number, because the mean of its divisors is an integer number (759948480).

Almost surely, 2^11005055501 is an apocalyptic number.

11005055501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11005055501 is a deficient number, since it is larger than the sum of its proper divisors (1154120179).

11005055501 is a wasteful number, since it uses less digits than its factorization.

11005055501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17476.

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 11005055501 in words is "eleven billion, five million, fifty-five thousand, five hundred one".