13254893088529 has 9 divisors (see below), whose sum is σ = 13269935413371. Its totient is φ = 13239867808200.

The previous prime is 13254893088509. The next prime is 13254893088587. The reversal of 13254893088529 is 92588039845231.

The square root of 13254893088529 is 3640727.

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., 8707132116225 + 4547760972304 = 2950785^2 + 2132548^2 .

It is not a de Polignac number, because 13254893088529 - 2¹⁹ = 13254892564241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13254893088509) 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, 4649206954 + ... + 4649209804.

Almost surely, 2^{13254893088529} is an apocalyptic number.

13254893088529 is the 3640727-th square number.

13254893088529 is the 1820364-th centered octagonal number.

It is an amenable number.

13254893088529 is a deficient number, since it is larger than the sum of its proper divisors (15042324842).

13254893088529 is an frugal number, since it uses more digits than its factorization.

13254893088529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 67.

The spelling of 13254893088529 in words is "thirteen trillion, two hundred fifty-four billion, eight hundred ninety-three million, eighty-eight thousand, five hundred twenty-nine".