13052164608 has 640 divisors, whose sum is σ = 48187392000. Its totient is φ = 3404021760.

The previous prime is 13052164603. The next prime is 13052164661. The reversal of 13052164608 is 80646125031.

It is a happy number.

13052164608 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 2 + 1 + 646 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13052164603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56996238 + ... + 56996466.

It is an arithmetic number, because the mean of its divisors is an integer number (75292800).

Almost surely, 2^13052164608 is an apocalyptic number.

13052164608 is a gapful number since it is divisible by the number (18) 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 13052164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24093696000).

13052164608 is an abundant number, since it is smaller than the sum of its proper divisors (35135227392).

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

13052164608 is a wasteful number, since it uses less digits than its factorization.

13052164608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 13052164608 its reverse (80646125031), we get a palindrome (93698289639).

The spelling of 13052164608 in words is "thirteen billion, fifty-two million, one hundred sixty-four thousand, six hundred eight".