12193791625521 has 27 divisors (see below), whose sum is σ = 19360206577803. Its totient is φ = 7390106903520.

The previous prime is 12193791625487. The next prime is 12193791625523. The reversal of 12193791625521 is 12552619739121.

The square root of 12193791625521 is 3491961.

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

12193791625521 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 3 + 7 + 9 + 1 + 625 + 5 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11809222967025 + 384568658496 = 3436455^2 + 620136^2 .

It is not a de Polignac number, because 12193791625521 - 2³⁵ = 12159431887153 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12193791625523) 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, 115181805 + ... + 115287621.

Almost surely, 2^{12193791625521} is an apocalyptic number.

12193791625521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12193791625521 is the 3491961-st square number.

12193791625521 is the 1745981-st centered octagonal number.

It is an amenable number.

12193791625521 is a deficient number, since it is larger than the sum of its proper divisors (7166414952282).

12193791625521 is an frugal number, since it uses more digits than its factorization.

12193791625521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211662 (or 105831 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The spelling of 12193791625521 in words is "twelve trillion, one hundred ninety-three billion, seven hundred ninety-one million, six hundred twenty-five thousand, five hundred twenty-one".