3563815269249 has 81 divisors (see below), whose sum is σ = 5435592617091. Its totient is φ = 2249963894880.

The previous prime is 3563815269221. The next prime is 3563815269331. The reversal of 3563815269249 is 9429625183653.

It is a happy number.

The square root of 3563815269249 is 1887807.

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

3563815269249 is a `hidden beast` number, since 3 + 5 + 6 + 3 + 81 + 526 + 9 + 24 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2569144151025 + 994671118224 = 1602855^2 + 997332^2 .

It is not a de Polignac number, because 3563815269249 - 2⁷ = 3563815269121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3563815269349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9305000512 + ... + 9305000894.

Almost surely, 2^{3563815269249} is an apocalyptic number.

3563815269249 is the 1887807-th square number.

3563815269249 is the 943904-th centered octagonal number.

It is an amenable number.

3563815269249 is a deficient number, since it is larger than the sum of its proper divisors (1871777347842).

3563815269249 is an frugal number, since it uses more digits than its factorization.

3563815269249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 470 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 3563815269249 in words is "three trillion, five hundred sixty-three billion, eight hundred fifteen million, two hundred sixty-nine thousand, two hundred forty-nine".