504064500625 has 45 divisors (see below), whose sum is σ = 732897037719. Its totient is φ = 345559032000.

The previous prime is 504064500617. The next prime is 504064500631. The reversal of 504064500625 is 526005460405.

The square root of 504064500625 is 709975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 382073570641 + 121990929984 = 618121^2 + 349272^2 .

It is not a de Polignac number, because 504064500625 - 2³ = 504064500617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 124243597 + ... + 124247653.

Almost surely, 2^504064500625 is an apocalyptic number.

504064500625 is the 709975-th square number.

504064500625 is the 354988-th centered octagonal number.

It is an amenable number.

504064500625 is a deficient number, since it is larger than the sum of its proper divisors (228832537094).

504064500625 is an frugal number, since it uses more digits than its factorization.

504064500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8148 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 504064500625 in words is "five hundred four billion, sixty-four million, five hundred thousand, six hundred twenty-five".