4782378528225 has 189 divisors, whose sum is σ = 9037880231817. Its totient is φ = 2509191406080.

The previous prime is 4782378528211. The next prime is 4782378528233. The reversal of 4782378528225 is 5228258732874.

The square root of 4782378528225 is 2186865.

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

4782378528225 is a `hidden beast` number, since 4 + 7 + 82 + 3 + 7 + 8 + 528 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 175843519569 + 4606535008656 = 419337^2 + 2146284^2 .

It is not a de Polignac number, because 4782378528225 - 2⁷ = 4782378528097 is a prime.

It is a super-2 number, since 2×4782378528225² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 28636997092 + ... + 28636997258.

Almost surely, 2^{4782378528225} is an apocalyptic number.

4782378528225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4782378528225 is the 2186865-th square number.

4782378528225 is the 1093433-rd centered octagonal number.

It is an amenable number.

4782378528225 is a deficient number, since it is larger than the sum of its proper divisors (4255501703592).

4782378528225 is an frugal number, since it uses more digits than its factorization.

4782378528225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 272 counting only the distinct ones).

The product of its digits is 120422400, while the sum is 63.

The spelling of 4782378528225 in words is "four trillion, seven hundred eighty-two billion, three hundred seventy-eight million, five hundred twenty-eight thousand, two hundred twenty-five".