11520333116253 has 12 divisors (see below), whose sum is σ = 17920518181020. Its totient is φ = 7089435763776.

The previous prime is 11520333116239. The next prime is 11520333116269. The reversal of 11520333116253 is 35261133302511.

11520333116253 is a `hidden beast` number, since 1 + 1 + 5 + 20 + 3 + 3 + 3 + 1 + 1 + 625 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2558470628484 + 8961862487769 = 1599522^2 + 2993637^2 .

It is not a de Polignac number, because 11520333116253 - 2³³ = 11511743181661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11520333116053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49232192688 + ... + 49232192921.

It is an arithmetic number, because the mean of its divisors is an integer number (1493376515085).

Almost surely, 2^{11520333116253} is an apocalyptic number.

11520333116253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11520333116253 is a deficient number, since it is larger than the sum of its proper divisors (6400185064767).

11520333116253 is a wasteful number, since it uses less digits than its factorization.

11520333116253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98464385628 (or 98464385625 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 11520333116253 its reverse (35261133302511), we get a palindrome (46781466418764).

The spelling of 11520333116253 in words is "eleven trillion, five hundred twenty billion, three hundred thirty-three million, one hundred sixteen thousand, two hundred fifty-three".