13501035432 has 96 divisors (see below), whose sum is σ = 37904256000. Its totient is φ = 4336778880.

The previous prime is 13501035287. The next prime is 13501035439. The reversal of 13501035432 is 23453010531.

13501035432 is a `hidden beast` number, since 13 + 5 + 0 + 103 + 543 + 2 = 666.

13501035432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13501035432² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13501035396 and 13501035405.

It is not an unprimeable number, because it can be changed into a prime (13501035439) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 520794 + ... + 546102.

It is an arithmetic number, because the mean of its divisors is an integer number (394836000).

Almost surely, 2^13501035432 is an apocalyptic number.

13501035432 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 13501035432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18952128000).

13501035432 is an abundant number, since it is smaller than the sum of its proper divisors (24403220568).

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

13501035432 is a wasteful number, since it uses less digits than its factorization.

13501035432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25591 (or 25584 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13501035432 its reverse (23453010531), we get a palindrome (36954045963).

The spelling of 13501035432 in words is "thirteen billion, five hundred one million, thirty-five thousand, four hundred thirty-two".