11225151 has 48 divisors (see below), whose sum is σ = 20127744. Its totient is φ = 5882112.

The previous prime is 11225129. The next prime is 11225161. The reversal of 11225151 is 15152211.

11225151 = 298² + 299² + ... + 391².

It is not a de Polignac number, because 11225151 - 2⁶ = 11225087 is a prime.

11225151 is a modest number, since divided by 5151 gives 1122 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11225161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50226 + ... + 50448.

It is an arithmetic number, because the mean of its divisors is an integer number (419328).

Almost surely, 2^11225151 is an apocalyptic number.

11225151 is a deficient number, since it is larger than the sum of its proper divisors (8902593).

11225151 is a wasteful number, since it uses less digits than its factorization.

11225151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 297 counting only the distinct ones).

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

The square root of 11225151 is about 3350.3956482780. The cubic root of 11225151 is about 223.9051402659.

Adding to 11225151 its reverse (15152211), we get a palindrome (26377362).

The spelling of 11225151 in words is "eleven million, two hundred twenty-five thousand, one hundred fifty-one".