4681013509225 has 9 divisors (see below), whose sum is σ = 5804470165573. Its totient is φ = 3744802153120.

The previous prime is 4681013509219. The next prime is 4681013509243. The reversal of 4681013509225 is 5229053101864.

The square root of 4681013509225 is 2163565.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2007670787929 + 2673342721296 = 1416923^2 + 1635036^2 .

It is not a de Polignac number, because 4681013509225 - 2⁹ = 4681013508713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10601469 + ... + 11034181.

Almost surely, 2^{4681013509225} is an apocalyptic number.

4681013509225 is the 2163565-th square number.

4681013509225 is the 1081783-rd centered octagonal number.

It is an amenable number.

4681013509225 is a deficient number, since it is larger than the sum of its proper divisors (1123456656348).

4681013509225 is an frugal number, since it uses more digits than its factorization.

4681013509225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865436 (or 432718 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 4681013509225 in words is "four trillion, six hundred eighty-one billion, thirteen million, five hundred nine thousand, two hundred twenty-five".