13252362240 has 544 divisors, whose sum is σ = 49148479296. Its totient is φ = 3019898880.

The previous prime is 13252362163. The next prime is 13252362241. The reversal of 13252362240 is 4226325231.

It is a tau number, because it is divible by the number of its divisors (544).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13252362198 and 13252362207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13252362241) 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 31 ways as a sum of consecutive naturals, for example, 217251810 + ... + 217251870.

Almost surely, 2^13252362240 is an apocalyptic number.

13252362240 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 13252362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24574239648).

13252362240 is an abundant number, since it is smaller than the sum of its proper divisors (35896117056).

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

13252362240 is an equidigital number, since it uses as much as digits as its factorization.

13252362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13252362240 its reverse (4226325231), we get a palindrome (17478687471).

The spelling of 13252362240 in words is "thirteen billion, two hundred fifty-two million, three hundred sixty-two thousand, two hundred forty".