10661628996225 has 27 divisors (see below), whose sum is σ = 19096249883529. Its totient is φ = 5686176009600.

The previous prime is 10661628996223. The next prime is 10661628996233. The reversal of 10661628996225 is 52269982616601.

It is a happy number.

The square root of 10661628996225 is 3265215.

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

10661628996225 is a `hidden beast` number, since 1 + 0 + 6 + 616 + 2 + 8 + 9 + 9 + 6 + 2 + 2 + 5 = 666.

10661628996225 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 4 ways, for example, as 3052571559921 + 7609057436304 = 1747161^2 + 2758452^2 .

It is not a de Polignac number, because 10661628996225 - 2¹ = 10661628996223 is a prime.

It is a super-2 number, since 2×10661628996225² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10661628996223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48869385 + ... + 49087065.

Almost surely, 2^{10661628996225} is an apocalyptic number.

10661628996225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10661628996225 is the 3265215-th square number.

10661628996225 is the 1632608-th centered octagonal number.

It is an amenable number.

10661628996225 is a deficient number, since it is larger than the sum of its proper divisors (8434620887304).

10661628996225 is an frugal number, since it uses more digits than its factorization.

10661628996225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435378 (or 217689 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 10661628996225 in words is "ten trillion, six hundred sixty-one billion, six hundred twenty-eight million, nine hundred ninety-six thousand, two hundred twenty-five".