13353521225004 has 216 divisors, whose sum is σ = 35463008606480. Its totient is φ = 4236349683456.

The previous prime is 13353521225003. The next prime is 13353521225053. The reversal of 13353521225004 is 40052212535331.

13353521225004 is a `hidden beast` number, since 1 + 3 + 353 + 52 + 1 + 2 + 250 + 0 + 4 = 666.

13353521225004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13353521225004.

It is not an unprimeable number, because it can be changed into a prime (13353521225003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5259361167 + ... + 5259363705.

Almost surely, 2^{13353521225004} 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 13353521225004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17731504303240).

13353521225004 is an abundant number, since it is smaller than the sum of its proper divisors (22109487381476).

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

13353521225004 is a wasteful number, since it uses less digits than its factorization.

13353521225004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 13353521225004 in words is "thirteen trillion, three hundred fifty-three billion, five hundred twenty-one million, two hundred twenty-five thousand, four".