211505011053 has 48 divisors (see below), whose sum is σ = 345850974720. Its totient is φ = 114321007584.

The previous prime is 211505011051. The next prime is 211505011057. The reversal of 211505011053 is 350110505112.

It is not a de Polignac number, because 211505011053 - 2¹ = 211505011051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211505011051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1748550 + ... + 1865592.

It is an arithmetic number, because the mean of its divisors is an integer number (7205228640).

Almost surely, 2^211505011053 is an apocalyptic number.

It is an amenable number.

211505011053 is a deficient number, since it is larger than the sum of its proper divisors (134345963667).

211505011053 is a wasteful number, since it uses less digits than its factorization.

211505011053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117726 (or 117719 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 211505011053 its reverse (350110505112), we get a palindrome (561615516165).

The spelling of 211505011053 in words is "two hundred eleven billion, five hundred five million, eleven thousand, fifty-three".