10013265 has 24 divisors (see below), whose sum is σ = 17957160. Its totient is φ = 5155584.

The previous prime is 10013243. The next prime is 10013287. The reversal of 10013265 is 56231001.

10013265 is digitally balanced in base 3, because in such base 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 (10013243) and next prime (10013287).

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 8485569 = 1236^2 + 2913^2 .

It is not a de Polignac number, because 10013265 - 2⁷ = 10013137 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2532 + ... + 5141.

It is an arithmetic number, because the mean of its divisors is an integer number (748215).

Almost surely, 2^10013265 is an apocalyptic number.

10013265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10013265 is a deficient number, since it is larger than the sum of its proper divisors (7943895).

10013265 is a wasteful number, since it uses less digits than its factorization.

10013265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7713 (or 7710 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10013265 is about 3164.3743457436. The cubic root of 10013265 is about 215.5386888331.

Adding to 10013265 its reverse (56231001), we get a palindrome (66244266).

The spelling of 10013265 in words is "ten million, thirteen thousand, two hundred sixty-five".