13505355 has 12 divisors (see below), whose sum is σ = 23409360. Its totient is φ = 7202832.

The previous prime is 13505353. The next prime is 13505357. The reversal of 13505355 is 55350531.

13505355 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 an interprime number because it is at equal distance from previous prime (13505353) and next prime (13505357).

It is not a de Polignac number, because 13505355 - 2¹ = 13505353 is a prime.

It is a super-2 number, since 2×13505355² = 364789227352050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150015 + ... + 150104.

It is an arithmetic number, because the mean of its divisors is an integer number (1950780).

Almost surely, 2^13505355 is an apocalyptic number.

13505355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13505355 is a deficient number, since it is larger than the sum of its proper divisors (9904005).

13505355 is a wasteful number, since it uses less digits than its factorization.

13505355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300130 (or 300127 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 27.

The square root of 13505355 is about 3674.9632651225. The cubic root of 13505355 is about 238.1416370875.

Adding to 13505355 its reverse (55350531), we get a palindrome (68855886).

The spelling of 13505355 in words is "thirteen million, five hundred five thousand, three hundred fifty-five".