13791382005625 has 45 divisors (see below), whose sum is σ = 20048322788571. Its totient is φ = 9456502020000.

The previous prime is 13791382005623. The next prime is 13791382005647. The reversal of 13791382005625 is 52650028319731.

The square root of 13791382005625 is 3713675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2899190695401 + 10892191310224 = 1702701^2 + 3300332^2 .

It is not a de Polignac number, because 13791382005625 - 2¹ = 13791382005623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13791382005623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 649882515 + ... + 649903735.

Almost surely, 2^{13791382005625} is an apocalyptic number.

13791382005625 is the 3713675-th square number.

13791382005625 is the 1856838-th centered octagonal number.

It is an amenable number.

13791382005625 is a deficient number, since it is larger than the sum of its proper divisors (6256940782946).

13791382005625 is an frugal number, since it uses more digits than its factorization.

13791382005625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42476 (or 21233 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 13791382005625 in words is "thirteen trillion, seven hundred ninety-one billion, three hundred eighty-two million, five thousand, six hundred twenty-five".