13505320 has 16 divisors (see below), whose sum is σ = 30387060. Its totient is φ = 5402112.

The previous prime is 13505299. The next prime is 13505321. The reversal of 13505320 is 2350531.

It can be written as a sum of positive squares in 2 ways, for example, as 11249316 + 2256004 = 3354^2 + 1502^2 .

It is not an unprimeable number, because it can be changed into a prime (13505321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168777 + ... + 168856.

Almost surely, 2^13505320 is an apocalyptic number.

13505320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13505320 is an abundant number, since it is smaller than the sum of its proper divisors (16881740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13505320 is a wasteful number, since it uses less digits than its factorization.

13505320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337644 (or 337640 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 13505320 is about 3674.9585031671. The cubic root of 13505320 is about 238.1414313675.

Adding to 13505320 its reverse (2350531), we get a palindrome (15855851).

It can be divided in two parts, 1350 and 5320, that added together give a triangular number (6670 = T₁₁₅).

The spelling of 13505320 in words is "thirteen million, five hundred five thousand, three hundred twenty".