2205001125 has 48 divisors (see below), whose sum is σ = 4082388336. Its totient is φ = 1144195200.

The previous prime is 2205001111. The next prime is 2205001177. The reversal of 2205001125 is 5211005022.

2205001125 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 49999041 + 2155002084 = 7071^2 + 46422^2 .

It is not a de Polignac number, because 2205001125 - 2¹⁶ = 2204935589 is a prime.

It is a super-2 number, since 2×2205001125² = 9724059922502531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2205001098 and 2205001107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15139 + ... + 68111.

It is an arithmetic number, because the mean of its divisors is an integer number (85049757).

Almost surely, 2^2205001125 is an apocalyptic number.

2205001125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2205001125 is a deficient number, since it is larger than the sum of its proper divisors (1877387211).

2205001125 is a wasteful number, since it uses less digits than its factorization.

2205001125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53031 (or 53018 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2205001125 is about 46957.4395064296. The cubic root of 2205001125 is about 1301.5762192627.

Adding to 2205001125 its reverse (5211005022), we get a palindrome (7416006147).

It can be divided in two parts, 220500 and 1125, that multiplied together give a square (248062500 = 15750²).

The spelling of 2205001125 in words is "two billion, two hundred five million, one thousand, one hundred twenty-five".