10954762225 has 45 divisors (see below), whose sum is σ = 15029073265. Its totient is φ = 7921047200.

The previous prime is 10954762223. The next prime is 10954762249. The reversal of 10954762225 is 52226745901.

The square root of 10954762225 is 104665.

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 1205964529 + 9748797696 = 34727^2 + 98736^2 .

It is not a de Polignac number, because 10954762225 - 2¹ = 10954762223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10954762223) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 63322239 + ... + 63322411.

Almost surely, 2^10954762225 is an apocalyptic number.

10954762225 is the 104665-th square number.

10954762225 is the 52333-rd centered octagonal number.

It is an amenable number.

10954762225 is a deficient number, since it is larger than the sum of its proper divisors (4074311040).

10954762225 is an frugal number, since it uses more digits than its factorization.

10954762225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 10954762225 in words is "ten billion, nine hundred fifty-four million, seven hundred sixty-two thousand, two hundred twenty-five".