48781348225 has 27 divisors (see below), whose sum is σ = 61087658499. Its totient is φ = 38642540400.

The previous prime is 48781348219. The next prime is 48781348261. The reversal of 48781348225 is 52284318784.

The square root of 48781348225 is 220865.

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

It can be written as a sum of positive squares in only one way, i.e., 17561285361 + 31220062864 = 132519^2 + 176692^2 .

It is not a de Polignac number, because 48781348225 - 2¹³ = 48781340033 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, 180004840 + ... + 180005110.

Almost surely, 2^48781348225 is an apocalyptic number.

48781348225 is the 220865-th square number.

48781348225 is the 110433-rd centered octagonal number.

It is an amenable number.

48781348225 is a deficient number, since it is larger than the sum of its proper divisors (12306310274).

48781348225 is an frugal number, since it uses more digits than its factorization.

48781348225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 52.

The spelling of 48781348225 in words is "forty-eight billion, seven hundred eighty-one million, three hundred forty-eight thousand, two hundred twenty-five".