10254600225 has 81 divisors (see below), whose sum is σ = 18924739353. Its totient is φ = 5307906240.

The previous prime is 10254600193. The next prime is 10254600233. The reversal of 10254600225 is 52200645201.

The square root of 10254600225 is 101265.

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

10254600225 is a `hidden beast` number, since 1 + 0 + 2 + 54 + 600 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1240237089 + 9014363136 = 35217^2 + 94944^2 .

It is not a de Polignac number, because 10254600225 - 2⁵ = 10254600193 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 65315847 + ... + 65316003.

Almost surely, 2^10254600225 is an apocalyptic number.

10254600225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10254600225 is the 101265-th square number.

10254600225 is the 50633-rd centered octagonal number.

It is an amenable number.

10254600225 is a deficient number, since it is larger than the sum of its proper divisors (8670139128).

10254600225 is an equidigital number, since it uses as much as digits as its factorization.

10254600225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 10254600225 in words is "ten billion, two hundred fifty-four million, six hundred thousand, two hundred twenty-five".