13225520 has 160 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 3870720.

The previous prime is 13225517. The next prime is 13225549. The reversal of 13225520 is 2552231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13225492 and 13225501.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 116984 + ... + 117096.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 2^13225520 is an apocalyptic number.

13225520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

13225520 is an abundant number, since it is smaller than the sum of its proper divisors (27486160).

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

13225520 is a wasteful number, since it uses less digits than its factorization.

13225520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 13225520 is about 3636.6908034641. The cubic root of 13225520 is about 236.4853556332.

Adding to 13225520 its reverse (2552231), we get a palindrome (15777751).

Subtracting from 13225520 its reverse (2552231), we obtain a square (10673289 = 3267²).

It can be divided in two parts, 132 and 25520, that added together give a palindrome (25652).

The spelling of 13225520 in words is "thirteen million, two hundred twenty-five thousand, five hundred twenty".