11006001 has 6 divisors (see below), whose sum is σ = 15897570. Its totient is φ = 7337328.

The previous prime is 11005957. The next prime is 11006011. The reversal of 11006001 is 10060011.

11006001 is digitally balanced in base 2, 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 only one way, i.e., 5875776 + 5130225 = 2424^2 + 2265^2 .

It is not a de Polignac number, because 11006001 - 2¹⁰ = 11004977 is a prime.

It is a super-2 number, since 2×11006001² = 242264116024002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1222889 = 11006001 / (1 + 1 + 0 + 0 + 6 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (11006011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611436 + ... + 611453.

It is an arithmetic number, because the mean of its divisors is an integer number (2649595).

Almost surely, 2^11006001 is an apocalyptic number.

It is an amenable number.

11006001 is a deficient number, since it is larger than the sum of its proper divisors (4891569).

11006001 is a wasteful number, since it uses less digits than its factorization.

11006001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222895 (or 1222892 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11006001 is about 3317.5293517918. The cubic root of 11006001 is about 222.4384444457.

Adding to 11006001 its reverse (10060011), we get a palindrome (21066012).

The spelling of 11006001 in words is "eleven million, six thousand, one".