4965120345025 has 27 divisors (see below), whose sum is σ = 6175303460361. Its totient is φ = 3960161742240.

The previous prime is 4965120345023. The next prime is 4965120345071. The reversal of 4965120345025 is 5205430215694.

The square root of 4965120345025 is 2228255.

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 2901438696321 + 2063681648704 = 1703361^2 + 1436552^2 .

It is not a de Polignac number, because 4965120345025 - 2¹ = 4965120345023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4965120345023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6829601212 + ... + 6829601938.

Almost surely, 2^{4965120345025} is an apocalyptic number.

4965120345025 is the 2228255-th square number.

4965120345025 is the 1114128-th centered octagonal number.

It is an amenable number.

4965120345025 is a deficient number, since it is larger than the sum of its proper divisors (1210183115336).

4965120345025 is an frugal number, since it uses more digits than its factorization.

4965120345025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 4965120345025 in words is "four trillion, nine hundred sixty-five billion, one hundred twenty million, three hundred forty-five thousand, twenty-five".