4188031225 has 45 divisors (see below), whose sum is σ = 6184855167. Its totient is φ = 2805006960.

The previous prime is 4188031213. The next prime is 4188031247. The reversal of 4188031225 is 5221308814.

It is a happy number.

The square root of 4188031225 is 64715.

It is a perfect power (a square), and thus also a powerful number.

4188031225 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., 1507691241 + 2680339984 = 38829^2 + 51772^2 .

It is not a de Polignac number, because 4188031225 - 2⁵ = 4188031193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 97396054 + ... + 97396096.

Almost surely, 2^4188031225 is an apocalyptic number.

4188031225 is the 64715-th square number.

4188031225 is the 32358-th centered octagonal number.

It is an amenable number.

4188031225 is a deficient number, since it is larger than the sum of its proper divisors (1996823942).

4188031225 is an frugal number, since it uses more digits than its factorization.

4188031225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The cubic root of 4188031225 is about 1611.8945875414.

The spelling of 4188031225 in words is "four billion, one hundred eighty-eight million, thirty-one thousand, two hundred twenty-five".