11188261 has 16 divisors (see below), whose sum is σ = 13651200. Its totient is φ = 8951040.

The previous prime is 11188259. The next prime is 11188273. The reversal of 11188261 is 16288111.

11188261 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 11188261 - 2¹ = 11188259 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11188201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17416 + ... + 18046.

It is an arithmetic number, because the mean of its divisors is an integer number (853200).

Almost surely, 2^11188261 is an apocalyptic number.

It is an amenable number.

11188261 is a deficient number, since it is larger than the sum of its proper divisors (2462939).

11188261 is a wasteful number, since it uses less digits than its factorization.

11188261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804.

The product of its digits is 768, while the sum is 28.

The square root of 11188261 is about 3344.8857977515. The cubic root of 11188261 is about 223.6595927005.

It can be divided in two parts, 11188 and 261, that added together give a square (11449 = 107²).

The spelling of 11188261 in words is "eleven million, one hundred eighty-eight thousand, two hundred sixty-one".