11006541 has 48 divisors (see below), whose sum is σ = 19918080. Its totient is φ = 5702400.

The previous prime is 11006537. The next prime is 11006551. The reversal of 11006541 is 14560011.

11006541 is a `hidden beast` number, since 1 + 10 + 0 + 654 + 1 = 666.

It is not a de Polignac number, because 11006541 - 2² = 11006537 is a prime.

It is a super-2 number, since 2×11006541² = 242287889569362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006521) 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, 72816 + ... + 72966.

It is an arithmetic number, because the mean of its divisors is an integer number (414960).

Almost surely, 2^11006541 is an apocalyptic number.

It is an amenable number.

11006541 is a deficient number, since it is larger than the sum of its proper divisors (8911539).

11006541 is a wasteful number, since it uses less digits than its factorization.

11006541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11006541 is about 3317.6107366597. The cubic root of 11006541 is about 222.4420823034.

Adding to 11006541 its reverse (14560011), we get a palindrome (25566552).

The spelling of 11006541 in words is "eleven million, six thousand, five hundred forty-one".