9713401256689 has 27 divisors (see below), whose sum is σ = 10595711774403. Its totient is φ = 8900505454464.

The previous prime is 9713401256659. The next prime is 9713401256723. The reversal of 9713401256689 is 9866521043179.

The square root of 9713401256689 is 3116633.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6667008023025 + 3046393233664 = 2582055^2 + 1745392^2 .

It is not a de Polignac number, because 9713401256689 - 2²⁷ = 9713267038961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9713401256639) 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, 6036917317 + ... + 6036918925.

It is a 2-persistent number, because it is pandigital, and so is 2⋅9713401256689 = 19426802513378, but 3⋅9713401256689 = 29140203770067 is not.

Almost surely, 2^{9713401256689} is an apocalyptic number.

9713401256689 is the 3116633-rd square number.

9713401256689 is the 1558317-th centered octagonal number.

It is an amenable number.

9713401256689 is a deficient number, since it is larger than the sum of its proper divisors (882310517714).

9713401256689 is an frugal number, since it uses more digits than its factorization.

9713401256689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 9713401256689 in words is "nine trillion, seven hundred thirteen billion, four hundred one million, two hundred fifty-six thousand, six hundred eighty-nine".