1603827225 has 144 divisors (see below), whose sum is σ = 3857503104. Its totient is φ = 615168000.

The previous prime is 1603827187. The next prime is 1603827233. The reversal of 1603827225 is 5227283061.

1603827225 is a `hidden beast` number, since 1 + 603 + 8 + 27 + 2 + 25 = 666.

It is not a de Polignac number, because 1603827225 - 2⁷ = 1603827097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1603827225.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 221665 + ... + 228785.

It is an arithmetic number, because the mean of its divisors is an integer number (26788216).

Almost surely, 2^1603827225 is an apocalyptic number.

1603827225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1603827225 is an abundant number, since it is smaller than the sum of its proper divisors (2253675879).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1603827225 is a wasteful number, since it uses less digits than its factorization.

1603827225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1603827225 is about 40047.8117379714. The cubic root of 1603827225 is about 1170.5389255111.

It can be divided in two parts, 1603 and 827225, that added together give a palindrome (828828).

The spelling of 1603827225 in words is "one billion, six hundred three million, eight hundred twenty-seven thousand, two hundred twenty-five".