4066252085025 has 243 divisors, whose sum is σ = 8210790414489. Its totient is φ = 1996620425280.

The previous prime is 4066252084997. The next prime is 4066252085041. The reversal of 4066252085025 is 5205802526604.

It is a happy number.

The square root of 4066252085025 is 2016495.

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

4066252085025 is a `hidden beast` number, since 40 + 6 + 6 + 2 + 520 + 85 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1048082490081 + 3018169594944 = 1023759^2 + 1737288^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 4066252085025 - 2¹⁵ = 4066252052257 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 10616845984 + ... + 10616846366.

Almost surely, 2^{4066252085025} is an apocalyptic number.

4066252085025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4066252085025 is the 2016495-th square number.

4066252085025 is the 1008248-th centered octagonal number.

It is an amenable number.

4066252085025 is an abundant number, since it is smaller than the sum of its proper divisors (4144538329464).

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

4066252085025 is an frugal number, since it uses more digits than its factorization.

4066252085025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 4066252085025 in words is "four trillion, sixty-six billion, two hundred fifty-two million, eighty-five thousand, twenty-five".