13263825 has 48 divisors (see below), whose sum is σ = 23677056. Its totient is φ = 6528000.

The previous prime is 13263821. The next prime is 13263829. The reversal of 13263825 is 52836231.

13263825 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

13263825 is a nontrivial binomial coefficient, being equal to C(5151, 2).

It is an interprime number because it is at equal distance from previous prime (13263821) and next prime (13263829).

It is not a de Polignac number, because 13263825 - 2² = 13263821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13263792 and 13263801.

It is not an unprimeable number, because it can be changed into a prime (13263821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128724 + ... + 128826.

It is an arithmetic number, because the mean of its divisors is an integer number (493272).

Almost surely, 2^13263825 is an apocalyptic number.

13263825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13263825 is the 5150-th triangular number.

It is an amenable number.

13263825 is a deficient number, since it is larger than the sum of its proper divisors (10413231).

13263825 is a wasteful number, since it uses less digits than its factorization.

13263825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 229 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 13263825 is about 3641.9534593402. The cubic root of 13263825 is about 236.7134459758.

It can be divided in two parts, 1326 and 3825, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 13263825 in words is "thirteen million, two hundred sixty-three thousand, eight hundred twenty-five".