10226265625 has 21 divisors (see below), whose sum is σ = 12798488521. Its totient is φ = 8170900000.

The previous prime is 10226265611. The next prime is 10226265649. The reversal of 10226265625 is 52656262201.

The square root of 10226265625 is 101125.

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

10226265625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 10225861129 + 404496 = 101123^2 + 636^2 .

It is not a de Polignac number, because 10226265625 - 2¹⁷ = 10226134553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 12640221 + ... + 12641029.

Almost surely, 2^10226265625 is an apocalyptic number.

10226265625 is the 101125-th square number.

10226265625 is the 50563-rd centered octagonal number.

It is an amenable number.

10226265625 is a deficient number, since it is larger than the sum of its proper divisors (2572222896).

10226265625 is an frugal number, since it uses more digits than its factorization.

10226265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 10226265625 in words is "ten billion, two hundred twenty-six million, two hundred sixty-five thousand, six hundred twenty-five".