13015305 has 24 divisors (see below), whose sum is σ = 23172552. Its totient is φ = 6753024.

The previous prime is 13015291. The next prime is 13015333. The reversal of 13015305 is 50351031.

It is a happy number.

13015305 is a `hidden beast` number, since 130 + 1 + 530 + 5 = 666.

13015305 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 12595401 = 648^2 + 3549^2 .

It is not a de Polignac number, because 13015305 - 2⁵ = 13015273 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, 2244 + ... + 5573.

It is an arithmetic number, because the mean of its divisors is an integer number (965523).

Almost surely, 2^13015305 is an apocalyptic number.

13015305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13015305 is a deficient number, since it is larger than the sum of its proper divisors (10157247).

13015305 is a wasteful number, since it uses less digits than its factorization.

13015305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7865 (or 7862 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13015305 is about 3607.6730727714. The cubic root of 13015305 is about 235.2257073976.

Adding to 13015305 its reverse (50351031), we get a palindrome (63366336).

The spelling of 13015305 in words is "thirteen million, fifteen thousand, three hundred five".