221525113 has 16 divisors (see below), whose sum is σ = 243369360. Its totient is φ = 200704000.

The previous prime is 221525089. The next prime is 221525119. The reversal of 221525113 is 311525122.

221525113 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 8 ways, for example, as 69939769 + 151585344 = 8363^2 + 12312^2 .

It is a cyclic number.

It is not a de Polignac number, because 221525113 - 2⁹ = 221524601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221525119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315663 + ... + 316363.

It is an arithmetic number, because the mean of its divisors is an integer number (15210585).

Almost surely, 2^221525113 is an apocalyptic number.

It is an amenable number.

221525113 is a deficient number, since it is larger than the sum of its proper divisors (21844247).

221525113 is a wasteful number, since it uses less digits than its factorization.

221525113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388.

The product of its digits is 600, while the sum is 22.

The square root of 221525113 is about 14883.7197299600. The cubic root of 221525113 is about 605.0728350715.

Subtracting 221525113 from its reverse (311525122), we obtain a palindrome (90000009).

The spelling of 221525113 in words is "two hundred twenty-one million, five hundred twenty-five thousand, one hundred thirteen".