4004991225 has 27 divisors (see below), whose sum is σ = 7175084943. Its totient is φ = 2135489040.

The previous prime is 4004991203. The next prime is 4004991229. The reversal of 4004991225 is 5221994004.

The square root of 4004991225 is 63285.

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

4004991225 is a `hidden beast` number, since 40 + 0 + 499 + 122 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1441796841 + 2563194384 = 37971^2 + 50628^2 .

It is not a de Polignac number, because 4004991225 - 2¹⁹ = 4004466937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4004991225.

It is not an unprimeable number, because it can be changed into a prime (4004991229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 947166 + ... + 951384.

Almost surely, 2^4004991225 is an apocalyptic number.

4004991225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4004991225 is the 63285-th square number.

4004991225 is the 31643-rd centered octagonal number.

It is an amenable number.

4004991225 is a deficient number, since it is larger than the sum of its proper divisors (3170093718).

4004991225 is an frugal number, since it uses more digits than its factorization.

4004991225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8454 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 4004991225 is about 1588.0610338524.

Multiplying 4004991225 by its sum of digits (36), we get a square (144179684100 = 379710²).

The spelling of 4004991225 in words is "four billion, four million, nine hundred ninety-one thousand, two hundred twenty-five".