211155006511 has 8 divisors (see below), whose sum is σ = 225023652864. Its totient is φ = 197677026360.

The previous prime is 211155006493. The next prime is 211155006527. The reversal of 211155006511 is 115600551112.

211155006511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 211155006511 - 2¹⁷ = 211154875439 is a prime.

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 211155006511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211155006311) 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 7 ways as a sum of consecutive naturals, for example, 97665435 + ... + 97667596.

It is an arithmetic number, because the mean of its divisors is an integer number (28127956608).

Almost surely, 2^211155006511 is an apocalyptic number.

211155006511 is a deficient number, since it is larger than the sum of its proper divisors (13868646353).

211155006511 is a wasteful number, since it uses less digits than its factorization.

211155006511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195333101.

The product of its (nonzero) digits is 1500, while the sum is 28.

Adding to 211155006511 its reverse (115600551112), we get a palindrome (326755557623).

The spelling of 211155006511 in words is "two hundred eleven billion, one hundred fifty-five million, six thousand, five hundred eleven".