2011133525345 has 32 divisors (see below), whose sum is σ = 2762948330496. Its totient is φ = 1376653824000.

The previous prime is 2011133525333. The next prime is 2011133525389. The reversal of 2011133525345 is 5435253311102.

It is a happy number.

It is not a de Polignac number, because 2011133525345 - 2²⁶ = 2011066416481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 51028187 + ... + 51067583.

It is an arithmetic number, because the mean of its divisors is an integer number (86342135328).

Almost surely, 2^{2011133525345} is an apocalyptic number.

It is an amenable number.

2011133525345 is a deficient number, since it is larger than the sum of its proper divisors (751814805151).

2011133525345 is a wasteful number, since it uses less digits than its factorization.

2011133525345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41921.

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 2011133525345 its reverse (5435253311102), we get a palindrome (7446386836447).

The spelling of 2011133525345 in words is "two trillion, eleven billion, one hundred thirty-three million, five hundred twenty-five thousand, three hundred forty-five".