12604637190601 has 3 divisors (see below), whose sum is σ = 12604640740903. Its totient is φ = 12604633640300.

The previous prime is 12604637190559. The next prime is 12604637190637. The reversal of 12604637190601 is 10609173640621.

The square root of 12604637190601 is 3550301.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 7528718310201 + 5075918880400 = 2743851^2 + 2252980^2 .

It is not a de Polignac number, because 12604637190601 - 2⁷ = 12604637190473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12604637190641) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1775151 + ... + 5325451.

Almost surely, 2^{12604637190601} is an apocalyptic number.

12604637190601 is the 3550301-st square number.

12604637190601 is the 1775151-st centered octagonal number.

It is an amenable number.

12604637190601 is a deficient number, since it is larger than the sum of its proper divisors (3550302).

12604637190601 is an frugal number, since it uses more digits than its factorization.

12604637190601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7100602 (or 3550301 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 12604637190601 in words is "twelve trillion, six hundred four billion, six hundred thirty-seven million, one hundred ninety thousand, six hundred one".