4025941925625 has 135 divisors (see below), whose sum is σ = 7517418966057. Its totient is φ = 2075497740000.

The previous prime is 4025941925597. The next prime is 4025941925633. The reversal of 4025941925625 is 5265291495204.

The square root of 4025941925625 is 2006475.

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

4025941925625 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 9 + 4 + 1 + 9 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 315633846969 + 3710308078656 = 561813^2 + 1926216^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4025941925625 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4665053944 + ... + 4665054806.

Almost surely, 2^{4025941925625} is an apocalyptic number.

4025941925625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4025941925625 is the 2006475-th square number.

4025941925625 is the 1003238-th centered octagonal number.

It is an amenable number.

4025941925625 is a deficient number, since it is larger than the sum of its proper divisors (3491477040432).

4025941925625 is an frugal number, since it uses more digits than its factorization.

4025941925625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 4025941925625 in words is "four trillion, twenty-five billion, nine hundred forty-one million, nine hundred twenty-five thousand, six hundred twenty-five".