11853153 has 18 divisors (see below), whose sum is σ = 18541926. Its totient is φ = 7293312.

The previous prime is 11853133. The next prime is 11853157. The reversal of 11853153 is 35135811.

11853153 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1140624 + 10712529 = 1068^2 + 3273^2 .

It is not a de Polignac number, because 11853153 - 2⁹ = 11852641 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11853157) 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 17 ways as a sum of consecutive naturals, for example, 2376 + ... + 5417.

It is an arithmetic number, because the mean of its divisors is an integer number (1030107).

Almost surely, 2^11853153 is an apocalyptic number.

11853153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11853153 is a deficient number, since it is larger than the sum of its proper divisors (6688773).

11853153 is a wasteful number, since it uses less digits than its factorization.

11853153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7825 (or 7809 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 11853153 is about 3442.8408328007. The cubic root of 11853153 is about 228.0051360801.

Adding to 11853153 its reverse (35135811), we get a palindrome (46988964).

The spelling of 11853153 in words is "eleven million, eight hundred fifty-three thousand, one hundred fifty-three".