2544774705225 has 27 divisors (see below), whose sum is σ = 4558017108853. Its totient is φ = 1357200414240.

The previous prime is 2544774705199. The next prime is 2544774705233. The reversal of 2544774705225 is 5225074774452.

The square root of 2544774705225 is 1595235.

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

2544774705225 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 77 + 47 + 0 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5060757321 + 2539713947904 = 71139^2 + 1593648^2 .

It is not a de Polignac number, because 2544774705225 - 2¹⁹ = 2544774180937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 23875351 + ... + 23981699.

Almost surely, 2^{2544774705225} is an apocalyptic number.

2544774705225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2544774705225 is the 1595235-th square number.

2544774705225 is the 797618-th centered octagonal number.

It is an amenable number.

2544774705225 is a deficient number, since it is larger than the sum of its proper divisors (2013242403628).

2544774705225 is an frugal number, since it uses more digits than its factorization.

2544774705225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212714 (or 106357 counting only the distinct ones).

The product of its (nonzero) digits is 21952000, while the sum is 54.

The spelling of 2544774705225 in words is "two trillion, five hundred forty-four billion, seven hundred seventy-four million, seven hundred five thousand, two hundred twenty-five".