13501413778329 has 9 divisors (see below), whose sum is σ = 19502058046783. Its totient is φ = 9000935170032.

The previous prime is 13501413778301. The next prime is 13501413778409. The reversal of 13501413778329 is 92387731410531.

The square root of 13501413778329 is 3674427.

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

13501413778329 is a `hidden beast` number, since 1 + 3 + 50 + 141 + 377 + 83 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10372760338329 + 3128653440000 = 3220677^2 + 1768800^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13501413778329 - 2¹⁷ = 13501413647257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13501413778829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10410877 + ... + 11635685.

Almost surely, 2^{13501413778329} is an apocalyptic number.

13501413778329 is the 3674427-th square number.

13501413778329 is the 1837214-th centered octagonal number.

It is an amenable number.

13501413778329 is a deficient number, since it is larger than the sum of its proper divisors (6000644268454).

13501413778329 is an frugal number, since it uses more digits than its factorization.

13501413778329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449624 (or 1224812 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 13501413778329 in words is "thirteen trillion, five hundred one billion, four hundred thirteen million, seven hundred seventy-eight thousand, three hundred twenty-nine".