2133562653312 has 32 divisors (see below), whose sum is σ = 5667275798880. Its totient is φ = 711187550976.

The previous prime is 2133562653311. The next prime is 2133562653451.

2133562653312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2133562653311) 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 3 ways as a sum of consecutive naturals, for example, 2778075988 + ... + 2778076755.

It is an arithmetic number, because the mean of its divisors is an integer number (177102368715).

Almost surely, 2^{2133562653312} is an apocalyptic number.

It is an amenable number.

2133562653312 is an abundant number, since it is smaller than the sum of its proper divisors (3533713145568).

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

2133562653312 is an equidigital number, since it uses as much as digits as its factorization.

2133562653312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556152760 (or 5556152748 counting only the distinct ones).

The product of its digits is 583200, while the sum is 42.

The spelling of 2133562653312 in words is "two trillion, one hundred thirty-three billion, five hundred sixty-two million, six hundred fifty-three thousand, three hundred twelve".