13593858390225 has 189 divisors, whose sum is σ = 26144248133217. Its totient is φ = 7008221088000.

The previous prime is 13593858390223. The next prime is 13593858390239. The reversal of 13593858390225 is 52209385839531.

The square root of 13593858390225 is 3686985.

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

13593858390225 is a `hidden beast` number, since 1 + 3 + 593 + 8 + 5 + 8 + 39 + 0 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3068946889281 + 10524911500944 = 1751841^2 + 3244212^2 .

It is not a de Polignac number, because 13593858390225 - 2¹ = 13593858390223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13593858390223) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 15430031785 + ... + 15430032665.

Almost surely, 2^{13593858390225} is an apocalyptic number.

13593858390225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13593858390225 is the 3686985-th square number.

13593858390225 is the 1843493-rd centered octagonal number.

It is an amenable number.

13593858390225 is a deficient number, since it is larger than the sum of its proper divisors (12550389742992).

13593858390225 is an frugal number, since it uses more digits than its factorization.

13593858390225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 13593858390225 in words is "thirteen trillion, five hundred ninety-three billion, eight hundred fifty-eight million, three hundred ninety thousand, two hundred twenty-five".