4525925625 has 225 divisors, whose sum is σ = 9563406699. Its totient is φ = 2131272000.

The previous prime is 4525925611. The next prime is 4525925653. The reversal of 4525925625 is 5265295254.

The square root of 4525925625 is 67275.

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

4525925625 is a `hidden beast` number, since 4 + 5 + 2 + 592 + 56 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4470393321 + 55532304 = 66861^2 + 7452^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 4525925625 - 2⁷ = 4525925497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 196779364 + ... + 196779386.

Almost surely, 2^4525925625 is an apocalyptic number.

4525925625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4525925625 is the 67275-th square number.

4525925625 is the 33638-th centered octagonal number.

It is an amenable number.

4525925625 is an abundant number, since it is smaller than the sum of its proper divisors (5037481074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4525925625 is an equidigital number, since it uses as much as digits as its factorization.

4525925625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 44 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The cubic root of 4525925625 is about 1654.1280931673.

The spelling of 4525925625 in words is "four billion, five hundred twenty-five million, nine hundred twenty-five thousand, six hundred twenty-five".