2305644849225 has 135 divisors (see below), whose sum is σ = 4382884528869. Its totient is φ = 1198227427200.

The previous prime is 2305644849223. The next prime is 2305644849323. The reversal of 2305644849225 is 5229484465032.

The square root of 2305644849225 is 1518435.

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

2305644849225 is a `hidden beast` number, since 2 + 3 + 0 + 56 + 4 + 484 + 92 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 970483087161 + 1335161762064 = 985131^2 + 1155492^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 2305644849225 - 2¹ = 2305644849223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2305644849223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2801512164 + ... + 2801512986.

Almost surely, 2^{2305644849225} is an apocalyptic number.

2305644849225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2305644849225 is the 1518435-th square number.

2305644849225 is the 759218-th centered octagonal number.

It is an amenable number.

2305644849225 is a deficient number, since it is larger than the sum of its proper divisors (2077239679644).

2305644849225 is an frugal number, since it uses more digits than its factorization.

2305644849225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 2305644849225 in words is "two trillion, three hundred five billion, six hundred forty-four million, eight hundred forty-nine thousand, two hundred twenty-five".