12535131026052 has 192 divisors, whose sum is σ = 33213874176000. Its totient is φ = 4087380528000.

The previous prime is 12535131026023. The next prime is 12535131026053. The reversal of 12535131026052 is 25062013153521.

12535131026052 is a `hidden beast` number, since 1 + 2 + 5 + 35 + 1 + 3 + 10 + 2 + 605 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12535131025998 and 12535131026016.

It is not an unprimeable number, because it can be changed into a prime (12535131026053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1132243677 + ... + 1132254747.

It is an arithmetic number, because the mean of its divisors is an integer number (172988928000).

Almost surely, 2^{12535131026052} is an apocalyptic number.

12535131026052 is a gapful number since it is divisible by the number (12) 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 12535131026052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606937088000).

12535131026052 is an abundant number, since it is smaller than the sum of its proper divisors (20678743149948).

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

12535131026052 is a wasteful number, since it uses less digits than its factorization.

12535131026052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12295 (or 12287 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 12535131026052 its reverse (25062013153521), we get a palindrome (37597144179573).

The spelling of 12535131026052 in words is "twelve trillion, five hundred thirty-five billion, one hundred thirty-one million, twenty-six thousand, fifty-two".