12701064601 has 9 divisors (see below), whose sum is σ = 12780331903. Its totient is φ = 12622288000.

The previous prime is 12701064559. The next prime is 12701064617. The reversal of 12701064601 is 10646010721.

The square root of 12701064601 is 112699.

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

It can be written as a sum of positive squares in only one way, i.e., 7761786201 + 4939278400 = 88101^2 + 70280^2 .

It is not a de Polignac number, because 12701064601 - 2¹⁹ = 12700540313 is a prime.

It is a super-3 number, since 3×12701064601³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12701064601.

It is not an unprimeable number, because it can be changed into a prime (12701164601) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 28287225 + ... + 28287673.

Almost surely, 2^12701064601 is an apocalyptic number.

12701064601 is the 112699-th square number.

12701064601 is the 56350-th centered octagonal number.

It is an amenable number.

12701064601 is a deficient number, since it is larger than the sum of its proper divisors (79267302).

12701064601 is an frugal number, since it uses more digits than its factorization.

12701064601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 12701064601 in words is "twelve billion, seven hundred one million, sixty-four thousand, six hundred one".