13563630369 has 9 divisors (see below), whose sum is σ = 19592415219. Its totient is φ = 9042187320.

The previous prime is 13563630359. The next prime is 13563630433. The reversal of 13563630369 is 96303636531.

The square root of 13563630369 is 116463.

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

13563630369 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 3 + 630 + 3 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8301578769 + 5262051600 = 91113^2 + 72540^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13563630369 - 2²³ = 13555241761 is a prime.

It is a super-2 number, since 2×13563630369² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13563630329) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 329979 + ... + 368799.

Almost surely, 2^13563630369 is an apocalyptic number.

13563630369 is the 116463-rd square number.

13563630369 is the 58232-nd centered octagonal number.

It is an amenable number.

13563630369 is a deficient number, since it is larger than the sum of its proper divisors (6028784850).

13563630369 is an frugal number, since it uses more digits than its factorization.

13563630369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77648 (or 38824 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 45.

The spelling of 13563630369 in words is "thirteen billion, five hundred sixty-three million, six hundred thirty thousand, three hundred sixty-nine".