1135321025553 has 72 divisors (see below), whose sum is σ = 2043369823040. Its totient is φ = 601715822400.

The previous prime is 1135321025543. The next prime is 1135321025569. The reversal of 1135321025553 is 3555201235311.

1135321025553 is a `hidden beast` number, since 1 + 1 + 35 + 321 + 0 + 255 + 53 = 666.

It is not a de Polignac number, because 1135321025553 - 2⁸ = 1135321025297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1135321025543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1841413 + ... + 2379378.

Almost surely, 2^{1135321025553} is an apocalyptic number.

1135321025553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1135321025553 is a deficient number, since it is larger than the sum of its proper divisors (908048797487).

1135321025553 is a wasteful number, since it uses less digits than its factorization.

1135321025553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220851 (or 4220837 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 1135321025553 in words is "one trillion, one hundred thirty-five billion, three hundred twenty-one million, twenty-five thousand, five hundred fifty-three".