41121756225 has 81 divisors (see below), whose sum is σ = 81024053929. Its totient is φ = 19921598400.

The previous prime is 41121756149. The next prime is 41121756227. The reversal of 41121756225 is 52265712114.

The square root of 41121756225 is 202785.

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

41121756225 is a `hidden beast` number, since 4 + 1 + 1 + 21 + 7 + 5 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10485555201 + 30636201024 = 102399^2 + 175032^2 .

It is not a de Polignac number, because 41121756225 - 2⁹ = 41121755713 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 41121756225.

It is not an unprimeable number, because it can be changed into a prime (41121756227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33458911 + ... + 33460139.

Almost surely, 2^41121756225 is an apocalyptic number.

41121756225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41121756225 is the 202785-th square number.

41121756225 is the 101393-rd centered octagonal number.

It is an amenable number.

41121756225 is a deficient number, since it is larger than the sum of its proper divisors (39902297704).

41121756225 is a wasteful number, since it uses less digits than its factorization.

41121756225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 1248 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

Multiplying 41121756225 by its sum of digits (36), we get a square (1480383224100 = 1216710²).

The spelling of 41121756225 in words is "forty-one billion, one hundred twenty-one million, seven hundred fifty-six thousand, two hundred twenty-five".