13563201 has 16 divisors (see below), whose sum is σ = 18845568. Its totient is φ = 8668800.

The previous prime is 13563191. The next prime is 13563211. The reversal of 13563201 is 10236531.

It is an interprime number because it is at equal distance from previous prime (13563191) and next prime (13563211).

It is not a de Polignac number, because 13563201 - 2¹⁰ = 13562177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13563211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7021 + ... + 8741.

It is an arithmetic number, because the mean of its divisors is an integer number (1177848).

Almost surely, 2^13563201 is an apocalyptic number.

It is an amenable number.

13563201 is a deficient number, since it is larger than the sum of its proper divisors (5282367).

13563201 is a wasteful number, since it uses less digits than its factorization.

13563201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 13563201 is about 3682.8251383958. The cubic root of 13563201 is about 238.4811547592.

Adding to 13563201 its reverse (10236531), we get a palindrome (23799732).

It can be divided in two parts, 135 and 63201, that added together give a palindrome (63336).

The spelling of 13563201 in words is "thirteen million, five hundred sixty-three thousand, two hundred one".