4634205625 has 45 divisors (see below), whose sum is σ = 6753718587. Its totient is φ = 3169572000.

The previous prime is 4634205619. The next prime is 4634205647. The reversal of 4634205625 is 5265024364.

The square root of 4634205625 is 68075.

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 4406437161 + 227768464 = 66381^2 + 15092^2 .

It is not a de Polignac number, because 4634205625 - 2³ = 4634205617 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, 11912931 + ... + 11913319.

Almost surely, 2^4634205625 is an apocalyptic number.

4634205625 is the 68075-th square number.

4634205625 is the 34038-th centered octagonal number.

It is an amenable number.

4634205625 is a deficient number, since it is larger than the sum of its proper divisors (2119512962).

4634205625 is an frugal number, since it uses more digits than its factorization.

4634205625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The cubic root of 4634205625 is about 1667.2156052911.

Adding to 4634205625 its reverse (5265024364), we get a palindrome (9899229989).

The spelling of 4634205625 in words is "four billion, six hundred thirty-four million, two hundred five thousand, six hundred twenty-five".