10360186225 has 9 divisors (see below), whose sum is σ = 12847262017. Its totient is φ = 8287741840.

The previous prime is 10360186211. The next prime is 10360186231. The reversal of 10360186225 is 52268106301.

The square root of 10360186225 is 101785.

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

10360186225 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 34374769 + 10325811456 = 5863^2 + 101616^2 .

It is not a de Polignac number, because 10360186225 - 2¹⁹ = 10359661937 is a prime.

It is a super-3 number, since 3×10360186225³ (a number of 31 digits) contains 333 as substring.

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 8 ways as a sum of consecutive naturals, for example, 498747 + ... + 519103.

Almost surely, 2^10360186225 is an apocalyptic number.

10360186225 is the 101785-th square number.

10360186225 is the 50893-rd centered octagonal number.

It is an amenable number.

10360186225 is a deficient number, since it is larger than the sum of its proper divisors (2487075792).

10360186225 is an frugal number, since it uses more digits than its factorization.

10360186225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40724 (or 20362 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 10360186225 in words is "ten billion, three hundred sixty million, one hundred eighty-six thousand, two hundred twenty-five".