1005225111 has 48 divisors (see below), whose sum is σ = 1614312960. Its totient is φ = 597663360.

The previous prime is 1005225047. The next prime is 1005225119. The reversal of 1005225111 is 1115225001.

1005225111 is a `hidden beast` number, since 100 + 52 + 2 + 511 + 1 = 666.

It is not a de Polignac number, because 1005225111 - 2⁶ = 1005225047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005225119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2652120 + ... + 2652498.

It is an arithmetic number, because the mean of its divisors is an integer number (33631520).

Almost surely, 2^1005225111 is an apocalyptic number.

1005225111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1005225111 is a deficient number, since it is larger than the sum of its proper divisors (609087849).

1005225111 is a wasteful number, since it uses less digits than its factorization.

1005225111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1005225111 is about 31705.2852218680. The cubic root of 1005225111 is about 1001.7386789103.

The spelling of 1005225111 in words is "one billion, five million, two hundred twenty-five thousand, one hundred eleven".