4086725049225 has 243 divisors, whose sum is σ = 9226446155199. Its totient is φ = 1723343731200.

The previous prime is 4086725049217. The next prime is 4086725049293. The reversal of 4086725049225 is 5229405276804.

The square root of 4086725049225 is 2021565.

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

4086725049225 is a `hidden beast` number, since 4 + 0 + 86 + 7 + 2 + 50 + 492 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3954677117769 + 132047931456 = 1988637^2 + 363384^2 .

It is not a de Polignac number, because 4086725049225 - 2³ = 4086725049217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2759435485 + ... + 2759436965.

Almost surely, 2^{4086725049225} is an apocalyptic number.

4086725049225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4086725049225 is the 2021565-th square number.

4086725049225 is the 1010783-rd centered octagonal number.

It is an amenable number.

4086725049225 is an abundant number, since it is smaller than the sum of its proper divisors (5139721105974).

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

4086725049225 is a wasteful number, since it uses less digits than its factorization.

4086725049225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 4086725049225 in words is "four trillion, eighty-six billion, seven hundred twenty-five million, forty-nine thousand, two hundred twenty-five".