11005001011005 has 16 divisors (see below), whose sum is σ = 18037465072704. Its totient is φ = 5726179387520.

The previous prime is 11005001010973. The next prime is 11005001011027. The reversal of 11005001011005 is 50011010050011.

It is not a de Polignac number, because 11005001011005 - 2⁵ = 11005001010973 is a prime.

It is a super-2 number, since 2×11005001011005² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8947154679 + ... + 8947155908.

It is an arithmetic number, because the mean of its divisors is an integer number (1127341567044).

Almost surely, 2^{11005001011005} is an apocalyptic number.

11005001011005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11005001011005 is a deficient number, since it is larger than the sum of its proper divisors (7032464061699).

11005001011005 is a wasteful number, since it uses less digits than its factorization.

11005001011005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17894310636.

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 11005001011005 its reverse (50011010050011), we get a palindrome (61016011061016).

The spelling of 11005001011005 in words is "eleven trillion, five billion, one million, eleven thousand, five".