11601135 has 48 divisors (see below), whose sum is σ = 24757824. Its totient is φ = 4893696.

The previous prime is 11601127. The next prime is 11601137. The reversal of 11601135 is 53110611.

11601135 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11601135 - 2³ = 11601127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11601137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2679 + ... + 5511.

It is an arithmetic number, because the mean of its divisors is an integer number (515788).

Almost surely, 2^11601135 is an apocalyptic number.

11601135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11601135 is an abundant number, since it is smaller than the sum of its proper divisors (13156689).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11601135 is a wasteful number, since it uses less digits than its factorization.

11601135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 11601135 is about 3406.0438928469. The cubic root of 11601135 is about 226.3776220041.

Adding to 11601135 its reverse (53110611), we get a palindrome (64711746).

The spelling of 11601135 in words is "eleven million, six hundred one thousand, one hundred thirty-five".