11005057 has 12 divisors (see below), whose sum is σ = 12927600. Its totient is φ = 9340296.

The previous prime is 11005051. The next prime is 11005067. The reversal of 11005057 is 75050011.

11005057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11005057 - 2¹¹ = 11003009 is a prime.

It is a super-2 number, since 2×11005057² = 242222559146498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11005051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4194 + ... + 6292.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2^11005057 is an apocalyptic number.

It is an amenable number.

11005057 is a deficient number, since it is larger than the sum of its proper divisors (1922543).

11005057 is a wasteful number, since it uses less digits than its factorization.

11005057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 19.

The square root of 11005057 is about 3317.3870741896. The cubic root of 11005057 is about 222.4320846457.

Adding to 11005057 its reverse (75050011), we get a palindrome (86055068).

The spelling of 11005057 in words is "eleven million, five thousand, fifty-seven".