5635329993225 has 135 divisors (see below), whose sum is σ = 10601941214359. Its totient is φ = 2959190085600.

The previous prime is 5635329993199. The next prime is 5635329993253. The reversal of 5635329993225 is 5223999235365.

The square root of 5635329993225 is 2373885.

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

5635329993225 is a `hidden beast` number, since 5 + 6 + 3 + 532 + 9 + 9 + 93 + 2 + 2 + 5 = 666.

5635329993225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2028718797561 + 3606611195664 = 1424331^2 + 1899108^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 5635329993225 - 2³³ = 5626740058633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7584562204 + ... + 7584562946.

Almost surely, 2^{5635329993225} is an apocalyptic number.

5635329993225 is the 2373885-th square number.

5635329993225 is the 1186943-rd centered octagonal number.

It is an amenable number.

5635329993225 is a deficient number, since it is larger than the sum of its proper divisors (4966611221134).

5635329993225 is an frugal number, since it uses more digits than its factorization.

5635329993225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 822 counting only the distinct ones).

The product of its digits is 118098000, while the sum is 63.

The spelling of 5635329993225 in words is "five trillion, six hundred thirty-five billion, three hundred twenty-nine million, nine hundred ninety-three thousand, two hundred twenty-five".