2052013275225 has 135 divisors (see below), whose sum is σ = 3846102287599. Its totient is φ = 1086052827600.

The previous prime is 2052013275223. The next prime is 2052013275241. The reversal of 2052013275225 is 5225723102502.

The square root of 2052013275225 is 1432485.

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

2052013275225 is a `hidden beast` number, since 205 + 201 + 3 + 27 + 5 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 738724779081 + 1313288496144 = 859491^2 + 1145988^2 .

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

It is not a de Polignac number, because 2052013275225 - 2¹ = 2052013275223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2052013275225.

It is not an unprimeable number, because it can be changed into a prime (2052013275223) 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, 15664223410 + ... + 15664223540.

Almost surely, 2^{2052013275225} is an apocalyptic number.

2052013275225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2052013275225 is the 1432485-th square number.

2052013275225 is the 716243-rd centered octagonal number.

It is an amenable number.

2052013275225 is a deficient number, since it is larger than the sum of its proper divisors (1794089012374).

2052013275225 is an frugal number, since it uses more digits than its factorization.

2052013275225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Multiplying 2052013275225 by its sum of digits (36), we get a square (73872477908100 = 8594910²).

Adding to 2052013275225 its reverse (5225723102502), we get a palindrome (7277736377727).

The spelling of 2052013275225 in words is "two trillion, fifty-two billion, thirteen million, two hundred seventy-five thousand, two hundred twenty-five".