4939083984025 has 81 divisors (see below), whose sum is σ = 6473826575013. Its totient is φ = 3737907417600.

The previous prime is 4939083984013. The next prime is 4939083984067. The reversal of 4939083984025 is 5204893809394.

The square root of 4939083984025 is 2222405.

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

It can be written as a sum of positive squares in 40 ways, for example, as 4506903964809 + 432180019216 = 2122947^2 + 657404^2 .

It is not a de Polignac number, because 4939083984025 - 2²¹ = 4939081886873 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 80 ways as a sum of consecutive naturals, for example, 16856941779 + ... + 16856942071.

Almost surely, 2^{4939083984025} is an apocalyptic number.

4939083984025 is the 2222405-th square number.

4939083984025 is the 1111203-rd centered octagonal number.

It is an amenable number.

4939083984025 is a deficient number, since it is larger than the sum of its proper divisors (1534742590988).

4939083984025 is an frugal number, since it uses more digits than its factorization.

4939083984025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 64.

Multiplying 4939083984025 by its sum of digits (64), we get a square (316101374977600 = 17779240²).

The spelling of 4939083984025 in words is "four trillion, nine hundred thirty-nine billion, eighty-three million, nine hundred eighty-four thousand, twenty-five".