10095966082225 has 9 divisors (see below), whose sum is σ = 12519017641963. Its totient is φ = 8076760156120.

The previous prime is 10095966082211. The next prime is 10095966082247. The reversal of 10095966082225 is 52228066959001.

The square root of 10095966082225 is 3177415.

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

10095966082225 is digitally balanced in base 2, 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 only one way, i.e., 3634547789601 + 6461418292624 = 1906449^2 + 2541932^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10095966082225 is a prime.

It is a super-2 number, since 2×10095966082225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15569334 + ... + 16204816.

Almost surely, 2^{10095966082225} is an apocalyptic number.

10095966082225 is the 3177415-th square number.

10095966082225 is the 1588708-th centered octagonal number.

It is an amenable number.

10095966082225 is a deficient number, since it is larger than the sum of its proper divisors (2423051559738).

10095966082225 is an frugal number, since it uses more digits than its factorization.

10095966082225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270976 (or 635488 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 10095966082225 in words is "ten trillion, ninety-five billion, nine hundred sixty-six million, eighty-two thousand, two hundred twenty-five".