13524114401 has 16 divisors (see below), whose sum is σ = 15606665088. Its totient is φ = 11479708800.

The previous prime is 13524114389. The next prime is 13524114421. The reversal of 13524114401 is 10441142531.

13524114401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13524114401 - 2¹⁴ = 13524098017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13524114421) 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 15 ways as a sum of consecutive naturals, for example, 299531 + ... + 341711.

It is an arithmetic number, because the mean of its divisors is an integer number (975416568).

Almost surely, 2^13524114401 is an apocalyptic number.

It is an amenable number.

13524114401 is a deficient number, since it is larger than the sum of its proper divisors (2082550687).

13524114401 is a wasteful number, since it uses less digits than its factorization.

13524114401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42632.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 13524114401 its reverse (10441142531), we get a palindrome (23965256932).

The spelling of 13524114401 in words is "thirteen billion, five hundred twenty-four million, one hundred fourteen thousand, four hundred one".