47782725375025 has 9 divisors (see below), whose sum is σ = 59250622322593. Its totient is φ = 38226152650000.

The previous prime is 47782725374987. The next prime is 47782725375139. The reversal of 47782725375025 is 52057352728774.

The square root of 47782725375025 is 6912505.

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

47782725375025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12331847258929 + 35450878116096 = 3511673^2 + 5954064^2 .

It is a de Polignac number, because none of the positive numbers 2^k-47782725375025 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 (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33871275 + ... + 35253775.

Almost surely, 2^{47782725375025} is an apocalyptic number.

47782725375025 is the 6912505-th square number.

47782725375025 is the 3456253-rd centered octagonal number.

It is an amenable number.

47782725375025 is a deficient number, since it is larger than the sum of its proper divisors (11467896947568).

47782725375025 is an frugal number, since it uses more digits than its factorization.

47782725375025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765012 (or 1382506 counting only the distinct ones).

The product of its (nonzero) digits is 230496000, while the sum is 64.

The spelling of 47782725375025 in words is "forty-seven trillion, seven hundred eighty-two billion, seven hundred twenty-five million, three hundred seventy-five thousand, twenty-five".