4688825625 has 135 divisors (see below), whose sum is σ = 9415983577. Its totient is φ = 2245980000.

The previous prime is 4688825623. The next prime is 4688825633. The reversal of 4688825625 is 5265288864.

It is a happy number.

The square root of 4688825625 is 68475.

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

4688825625 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 8 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 367603929 + 4321221696 = 19173^2 + 65736^2 .

It is not a de Polignac number, because 4688825625 - 2¹ = 4688825623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4688825623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 56491834 + ... + 56491916.

Almost surely, 2^4688825625 is an apocalyptic number.

4688825625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4688825625 is the 68475-th square number.

4688825625 is the 34238-th centered octagonal number.

It is an amenable number.

4688825625 is an abundant number, since it is smaller than the sum of its proper divisors (4727157952).

4688825625 is an equidigital number, since it uses as much as digits as its factorization.

4688825625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 102 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The cubic root of 4688825625 is about 1673.7401233679.

The spelling of 4688825625 in words is "four billion, six hundred eighty-eight million, eight hundred twenty-five thousand, six hundred twenty-five".