2125807740225 has 81 divisors (see below), whose sum is σ = 4123528353243. Its totient is φ = 1046411533440.

The previous prime is 2125807740167. The next prime is 2125807740239. The reversal of 2125807740225 is 5220477085212.

The square root of 2125807740225 is 1458015.

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

2125807740225 is a `hidden beast` number, since 2 + 1 + 2 + 580 + 7 + 7 + 40 + 2 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 968746094001 + 1157061646224 = 984249^2 + 1075668^2 .

It is not a de Polignac number, because 2125807740225 - 2¹⁷ = 2125807609153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 284309187 + ... + 284316663.

Almost surely, 2^{2125807740225} is an apocalyptic number.

2125807740225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2125807740225 is the 1458015-th square number.

2125807740225 is the 729008-th centered octagonal number.

It is an amenable number.

2125807740225 is a deficient number, since it is larger than the sum of its proper divisors (1997720613018).

2125807740225 is an frugal number, since it uses more digits than its factorization.

2125807740225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14996 (or 7498 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 2125807740225 in words is "two trillion, one hundred twenty-five billion, eight hundred seven million, seven hundred forty thousand, two hundred twenty-five".