3609563013225 has 81 divisors (see below), whose sum is σ = 7001419797957. Its totient is φ = 1776833248320.

The previous prime is 3609563013151. The next prime is 3609563013247. The reversal of 3609563013225 is 5223103659063.

It is a happy number.

The square root of 3609563013225 is 1899885.

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

3609563013225 is a `hidden beast` number, since 3 + 6 + 0 + 9 + 5 + 630 + 1 + 3 + 2 + 2 + 5 = 666.

3609563013225 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 4 ways, for example, as 930370206249 + 2679192806976 = 964557^2 + 1636824^2 .

It is not a de Polignac number, because 3609563013225 - 2²³ = 3609554624617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 370472704 + ... + 370482446.

Almost surely, 2^{3609563013225} is an apocalyptic number.

3609563013225 is the 1899885-th square number.

3609563013225 is the 949943-rd centered octagonal number.

It is an amenable number.

3609563013225 is a deficient number, since it is larger than the sum of its proper divisors (3391856784732).

3609563013225 is an frugal number, since it uses more digits than its factorization.

3609563013225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19528 (or 9764 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 3609563013225 in words is "three trillion, six hundred nine billion, five hundred sixty-three million, thirteen thousand, two hundred twenty-five".