4736085825025 has 27 divisors (see below), whose sum is σ = 6238766690121. Its totient is φ = 3565854752640.

The previous prime is 4736085824993. The next prime is 4736085825047. The reversal of 4736085825025 is 5205285806374.

The square root of 4736085825025 is 2176255.

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

It can be written as a sum of positive squares in 4 ways, for example, as 110781799921 + 4625304025104 = 332839^2 + 2150652^2 .

It is not a de Polignac number, because 4736085825025 - 2⁵ = 4736085824993 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 184968874 + ... + 184994476.

Almost surely, 2^{4736085825025} is an apocalyptic number.

4736085825025 is the 2176255-th square number.

4736085825025 is the 1088128-th centered octagonal number.

It is an amenable number.

4736085825025 is a deficient number, since it is larger than the sum of its proper divisors (1502680865096).

4736085825025 is an frugal number, since it uses more digits than its factorization.

4736085825025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51250 (or 25625 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 55.

The spelling of 4736085825025 in words is "four trillion, seven hundred thirty-six billion, eighty-five million, eight hundred twenty-five thousand, twenty-five".