13135604406552 has 48 divisors (see below), whose sum is σ = 36802339938000. Its totient is φ = 4227550842816.

The previous prime is 13135604406503. The next prime is 13135604406607. The reversal of 13135604406552 is 25560440653131.

It is a happy number.

13135604406552 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 56 + 0 + 4 + 40 + 6 + 552 = 666.

13135604406552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13135604406498 and 13135604406507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3145497052 + ... + 3145501227.

It is an arithmetic number, because the mean of its divisors is an integer number (766715415375).

Almost surely, 2^{13135604406552} is an apocalyptic number.

13135604406552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13135604406552 is an abundant number, since it is smaller than the sum of its proper divisors (23666735531448).

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

13135604406552 is a wasteful number, since it uses less digits than its factorization.

13135604406552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6290998320 (or 6290998313 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 13135604406552 in words is "thirteen trillion, one hundred thirty-five billion, six hundred four million, four hundred six thousand, five hundred fifty-two".