2133511506 has 96 divisors (see below), whose sum is σ = 5446441728. Its totient is φ = 590906880.

The previous prime is 2133511477. The next prime is 2133511507. The reversal of 2133511506 is 6051153312.

It is a self number, because there is not a number n which added to its sum of digits gives 2133511506.

It is not an unprimeable number, because it can be changed into a prime (2133511507) 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, 861486 + ... + 863958.

It is an arithmetic number, because the mean of its divisors is an integer number (56733768).

Almost surely, 2^2133511506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133511506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723220864).

2133511506 is an abundant number, since it is smaller than the sum of its proper divisors (3312930222).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2133511506 is a wasteful number, since it uses less digits than its factorization.

2133511506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 2133511506 is about 46189.9502705946. The cubic root of 2133511506 is about 1287.3550167720.

Adding to 2133511506 its reverse (6051153312), we get a palindrome (8184664818).

The spelling of 2133511506 in words is "two billion, one hundred thirty-three million, five hundred eleven thousand, five hundred six".