2225004806025 has 81 divisors (see below), whose sum is σ = 4010842059861. Its totient is φ = 1179091673280.

The previous prime is 2225004805939. The next prime is 2225004806027. The reversal of 2225004806025 is 5206084005222.

The square root of 2225004806025 is 1491645.

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

2225004806025 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 0 + 0 + 48 + 0 + 602 + 5 = 666.

2225004806025 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 4 ways, for example, as 509868830601 + 1715135975424 = 714051^2 + 1309632^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2225004806025 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2225004806027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6197784796 + ... + 6197785154.

Almost surely, 2^{2225004806025} is an apocalyptic number.

2225004806025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2225004806025 is the 1491645-th square number.

2225004806025 is the 745823-rd centered octagonal number.

It is an amenable number.

2225004806025 is a deficient number, since it is larger than the sum of its proper divisors (1785837253836).

2225004806025 is an frugal number, since it uses more digits than its factorization.

2225004806025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Multiplying 2225004806025 by its sum of digits (36), we get a square (80100173016900 = 8949870²).

The spelling of 2225004806025 in words is "two trillion, two hundred twenty-five billion, four million, eight hundred six thousand, twenty-five".