2771442505225 has 27 divisors (see below), whose sum is σ = 3485074251519. Its totient is φ = 2186302579200.

The previous prime is 2771442505213. The next prime is 2771442505253. The reversal of 2771442505225 is 5225052441772.

The square root of 2771442505225 is 1664765.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2031574160889 + 739868344336 = 1425333^2 + 860156^2 .

It is not a de Polignac number, because 2771442505225 - 2¹¹ = 2771442503177 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 (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 607636945 + ... + 607641505.

Almost surely, 2^{2771442505225} is an apocalyptic number.

2771442505225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2771442505225 is the 1664765-th square number.

2771442505225 is the 832383-rd centered octagonal number.

It is an amenable number.

2771442505225 is a deficient number, since it is larger than the sum of its proper divisors (713631746294).

2771442505225 is an frugal number, since it uses more digits than its factorization.

2771442505225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9278 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 46.

Adding to 2771442505225 its reverse (5225052441772), we get a palindrome (7996494946997).

The spelling of 2771442505225 in words is "two trillion, seven hundred seventy-one billion, four hundred forty-two million, five hundred five thousand, two hundred twenty-five".