10225253313025 has 81 divisors (see below), whose sum is σ = 13198439126691. Its totient is φ = 7858348253280.

The previous prime is 10225253312993. The next prime is 10225253313031. The reversal of 10225253313025 is 52031335252201.

The square root of 10225253313025 is 3197695.

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

It can be written as a sum of positive squares in only one way, i.e., 3681091192689 + 6544162120336 = 1918617^2 + 2558156^2 .

It is not a de Polignac number, because 10225253313025 - 2⁵ = 10225253312993 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 (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 73562973406 + ... + 73562973544.

Almost surely, 2^{10225253313025} is an apocalyptic number.

10225253313025 is the 3197695-th square number.

10225253313025 is the 1598848-th centered octagonal number.

It is an amenable number.

10225253313025 is a deficient number, since it is larger than the sum of its proper divisors (2973185813666).

10225253313025 is an frugal number, since it uses more digits than its factorization.

10225253313025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

Adding to 10225253313025 its reverse (52031335252201), we get a palindrome (62256588565226).

The spelling of 10225253313025 in words is "ten trillion, two hundred twenty-five billion, two hundred fifty-three million, three hundred thirteen thousand, twenty-five".