13530541152 has 48 divisors (see below), whose sum is σ = 35644138992. Its totient is φ = 4494120960.

The previous prime is 13530541147. The next prime is 13530541169. The reversal of 13530541152 is 25114503531.

13530541152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×13530541152³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223813 + ... + 277764.

It is an arithmetic number, because the mean of its divisors is an integer number (742586229).

Almost surely, 2^13530541152 is an apocalyptic number.

13530541152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13530541152 is an abundant number, since it is smaller than the sum of its proper divisors (22113597840).

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

13530541152 is a wasteful number, since it uses less digits than its factorization.

13530541152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501871 (or 501863 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 13530541152 in words is "thirteen billion, five hundred thirty million, five hundred forty-one thousand, one hundred fifty-two".