13661263 has 18 divisors (see below), whose sum is σ = 17297448. Its totient is φ = 10561320.

The previous prime is 13661261. The next prime is 13661267. The reversal of 13661263 is 36216631.

13661263 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13661263 - 2¹ = 13661261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13661261) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 107506 + ... + 107632.

Almost surely, 2^13661263 is an apocalyptic number.

13661263 is a deficient number, since it is larger than the sum of its proper divisors (3636185).

13661263 is an equidigital number, since it uses as much as digits as its factorization.

13661263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 145 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 13661263 is about 3696.1145815572. The cubic root of 13661263 is about 239.0545150878.

Multiplying 13661263 by its sum of digits (28), we get a square (382515364 = 19558²).

Adding to 13661263 its reverse (36216631), we get a palindrome (49877894).

It can be divided in two parts, 13661 and 263, that added together give a square (13924 = 118²).

The spelling of 13661263 in words is "thirteen million, six hundred sixty-one thousand, two hundred sixty-three".