13249097684761 has 9 divisors (see below), whose sum is σ = 13470082374879. Its totient is φ = 13031680966200.

The previous prime is 13249097684747. The next prime is 13249097684827. The reversal of 13249097684761 is 16748679094231.

The square root of 13249097684761 is 3639931.

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., 430836017161 + 12818261667600 = 656381^2 + 3580260^2 .

It is not a de Polignac number, because 13249097684761 - 2⁷ = 13249097684633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13249097684731) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 222005956 + ... + 222065626.

It is an arithmetic number, because the mean of its divisors is an integer number (1496675819431).

Almost surely, 2^{13249097684761} is an apocalyptic number.

13249097684761 is the 3639931-st square number.

13249097684761 is the 1819966-th centered octagonal number.

It is an amenable number.

13249097684761 is a deficient number, since it is larger than the sum of its proper divisors (220984690118).

13249097684761 is an frugal number, since it uses more digits than its factorization.

13249097684761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119464 (or 59732 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 67.

The spelling of 13249097684761 in words is "thirteen trillion, two hundred forty-nine billion, ninety-seven million, six hundred eighty-four thousand, seven hundred sixty-one".