13375252513404 has 144 divisors (see below), whose sum is σ = 35898871147776. Its totient is φ = 4184405568000.

The previous prime is 13375252513367. The next prime is 13375252513429. The reversal of 13375252513404 is 40431525257331.

It is a happy number.

13375252513404 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 5 + 252 + 51 + 340 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13375252513404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321105979 + ... + 321147629.

It is an arithmetic number, because the mean of its divisors is an integer number (249297716304).

Almost surely, 2^{13375252513404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13375252513404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17949435573888).

13375252513404 is an abundant number, since it is smaller than the sum of its proper divisors (22523618634372).

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

13375252513404 is a wasteful number, since it uses less digits than its factorization.

13375252513404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43136 (or 43131 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 13375252513404 in words is "thirteen trillion, three hundred seventy-five billion, two hundred fifty-two million, five hundred thirteen thousand, four hundred four".