13505352041 has 8 divisors (see below), whose sum is σ = 14333758344. Its totient is φ = 12680720640.

The previous prime is 13505352013. The next prime is 13505352059. The reversal of 13505352041 is 14025350531.

It can be written as a sum of positive squares in 4 ways, for example, as 2282068441 + 11223283600 = 47771^2 + 105940^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13505352041 - 2²² = 13501157737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13505351995 and 13505352013.

It is not an unprimeable number, because it can be changed into a prime (13505352841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 936350 + ... + 950663.

It is an arithmetic number, because the mean of its divisors is an integer number (1791719793).

Almost surely, 2^13505352041 is an apocalyptic number.

It is an amenable number.

13505352041 is a deficient number, since it is larger than the sum of its proper divisors (828406303).

13505352041 is a wasteful number, since it uses less digits than its factorization.

13505352041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887451.

The product of its (nonzero) digits is 9000, while the sum is 29.

The spelling of 13505352041 in words is "thirteen billion, five hundred five million, three hundred fifty-two thousand, forty-one".