13505590 has 32 divisors (see below), whose sum is σ = 28745280. Its totient is φ = 4470144.

The previous prime is 13505581. The next prime is 13505593. The reversal of 13505590 is 9550531.

It is a super-2 number, since 2×13505590² = 364801922496200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1297 + ... + 5356.

It is an arithmetic number, because the mean of its divisors is an integer number (898290).

Almost surely, 2^13505590 is an apocalyptic number.

13505590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13505590 is an abundant number, since it is smaller than the sum of its proper divisors (15239690).

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

13505590 is a wasteful number, since it uses less digits than its factorization.

13505590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696.

The product of its (nonzero) digits is 3375, while the sum is 28.

The square root of 13505590 is about 3674.9952380922. The cubic root of 13505590 is about 238.1430183411.

The spelling of 13505590 in words is "thirteen million, five hundred five thousand, five hundred ninety".