10225456641 has 27 divisors (see below), whose sum is σ = 15196766403. Its totient is φ = 6625447920.

The previous prime is 10225456597. The next prime is 10225456643. The reversal of 10225456641 is 14665452201.

The square root of 10225456641 is 101121.

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

10225456641 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 5 + 4 + 5 + 6 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9149879025 + 1075577616 = 95655^2 + 32796^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10225456641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10225456596 and 10225456605.

It is not an unprimeable number, because it can be changed into a prime (10225456643) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 11223976 + ... + 11224886.

Almost surely, 2^10225456641 is an apocalyptic number.

10225456641 is the 101121-st square number.

10225456641 is the 50561-st centered octagonal number.

It is an amenable number.

10225456641 is a deficient number, since it is larger than the sum of its proper divisors (4971309762).

10225456641 is an frugal number, since it uses more digits than its factorization.

10225456641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 10225456641 by its sum of digits (36), we get a square (368116439076 = 606726²).

Multiplying 10225456641 by its product of nonzero digits (57600), we get a square (588986302521600 = 24269040²).

The spelling of 10225456641 in words is "ten billion, two hundred twenty-five million, four hundred fifty-six thousand, six hundred forty-one".