10180662211225 has 27 divisors (see below), whose sum is σ = 13876229372509. Its totient is φ = 7403990343200.

The previous prime is 10180662211193. The next prime is 10180662211231. The reversal of 10180662211225 is 52211226608101.

The square root of 10180662211225 is 3190715.

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 1100709427609 + 9079952783616 = 1049147^2 + 3013296^2 .

It is not a de Polignac number, because 10180662211225 - 2⁵ = 10180662211193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 175460319 + ... + 175518331.

Almost surely, 2^{10180662211225} is an apocalyptic number.

10180662211225 is the 3190715-th square number.

10180662211225 is the 1595358-th centered octagonal number.

It is an amenable number.

10180662211225 is a deficient number, since it is larger than the sum of its proper divisors (3695567161284).

10180662211225 is an frugal number, since it uses more digits than its factorization.

10180662211225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116058 (or 58029 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

Adding to 10180662211225 its reverse (52211226608101), we get a palindrome (62391888819326).

The spelling of 10180662211225 in words is "ten trillion, one hundred eighty billion, six hundred sixty-two million, two hundred eleven thousand, two hundred twenty-five".