13531585493952 has 168 divisors, whose sum is σ = 40830793827200. Its totient is φ = 4272756853248.

The previous prime is 13531585493827. The next prime is 13531585493963. The reversal of 13531585493952 is 25939458513531.

13531585493952 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 1 + 5 + 8 + 549 + 39 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13531585493952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141337683 + ... + 141433389.

Almost surely, 2^{13531585493952} is an apocalyptic number.

13531585493952 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 13531585493952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20415396913600).

13531585493952 is an abundant number, since it is smaller than the sum of its proper divisors (27299208333248).

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

13531585493952 is a wasteful number, since it uses less digits than its factorization.

13531585493952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108663 (or 108650 counting only the distinct ones).

The product of its digits is 87480000, while the sum is 63.

The spelling of 13531585493952 in words is "thirteen trillion, five hundred thirty-one billion, five hundred eighty-five million, four hundred ninety-three thousand, nine hundred fifty-two".