13188261 has 16 divisors (see below), whose sum is σ = 18818240. Its totient is φ = 8190720.

The previous prime is 13188251. The next prime is 13188271. The reversal of 13188261 is 16288131.

13188261 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13188251) and next prime (13188271).

It is not a de Polignac number, because 13188261 - 2⁹ = 13187749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13188221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1581 + ... + 5373.

It is an arithmetic number, because the mean of its divisors is an integer number (1176140).

Almost surely, 2^13188261 is an apocalyptic number.

It is an amenable number.

13188261 is a deficient number, since it is larger than the sum of its proper divisors (5629979).

13188261 is a wasteful number, since it uses less digits than its factorization.

13188261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876.

The product of its digits is 2304, while the sum is 30.

The square root of 13188261 is about 3631.5645388730. The cubic root of 13188261 is about 236.2630708594.

The spelling of 13188261 in words is "thirteen million, one hundred eighty-eight thousand, two hundred sixty-one".