1135541121 has 32 divisors (see below), whose sum is σ = 1798796160. Its totient is φ = 628108800.

The previous prime is 1135541093. The next prime is 1135541153. The reversal of 1135541121 is 1211455311.

It is not a de Polignac number, because 1135541121 - 2¹⁴ = 1135524737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1135541091 and 1135541100.

It is not an unprimeable number, because it can be changed into a prime (1135541171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23311 + ... + 53051.

It is an arithmetic number, because the mean of its divisors is an integer number (56212380).

Almost surely, 2^1135541121 is an apocalyptic number.

1135541121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1135541121 is a deficient number, since it is larger than the sum of its proper divisors (663255039).

1135541121 is a wasteful number, since it uses less digits than its factorization.

1135541121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29857.

The product of its digits is 600, while the sum is 24.

The square root of 1135541121 is about 33697.7910403635. The cubic root of 1135541121 is about 1043.2801762486.

Adding to 1135541121 its reverse (1211455311), we get a palindrome (2346996432).

The spelling of 1135541121 in words is "one billion, one hundred thirty-five million, five hundred forty-one thousand, one hundred twenty-one".