576377048025 has 45 divisors (see below), whose sum is σ = 1067712821263. Its totient is φ = 307382871600.

The previous prime is 576377048017. The next prime is 576377048057. The reversal of 576377048025 is 520840773675.

It is a happy number.

The square root of 576377048025 is 759195.

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

576377048025 is a `hidden beast` number, since 5 + 76 + 3 + 7 + 70 + 480 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 207495737289 + 368881310736 = 455517^2 + 607356^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 576377048025 - 2³ = 576377048017 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 44 ways as a sum of consecutive naturals, for example, 34155340 + ... + 34172210.

Almost surely, 2^576377048025 is an apocalyptic number.

576377048025 is the 759195-th square number.

576377048025 is the 379598-th centered octagonal number.

It is an amenable number.

576377048025 is a deficient number, since it is larger than the sum of its proper divisors (491335773238).

576377048025 is an frugal number, since it uses more digits than its factorization.

576377048025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33764 (or 16879 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 576377048025 in words is "five hundred seventy-six billion, three hundred seventy-seven million, forty-eight thousand, twenty-five".