12005351553533 has 24 divisors (see below), whose sum is σ = 13448999626920. Its totient is φ = 10699053281280.

The previous prime is 12005351553527. The next prime is 12005351553541. The reversal of 12005351553533 is 33535515350021.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3525764800804 + 8479586752729 = 1877702^2 + 2911973^2 .

It is not a de Polignac number, because 12005351553533 - 2²⁶ = 12005284444669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005351553583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87566285 + ... + 87703277.

It is an arithmetic number, because the mean of its divisors is an integer number (560374984455).

Almost surely, 2^{12005351553533} is an apocalyptic number.

12005351553533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12005351553533 is a deficient number, since it is larger than the sum of its proper divisors (1443648073387).

12005351553533 is a wasteful number, since it uses less digits than its factorization.

12005351553533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154929 (or 154916 counting only the distinct ones).

The product of its (nonzero) digits is 506250, while the sum is 41.

The spelling of 12005351553533 in words is "twelve trillion, five billion, three hundred fifty-one million, five hundred fifty-three thousand, five hundred thirty-three".