13537180041 has 24 divisors (see below), whose sum is σ = 22673848512. Its totient is φ = 7032300000.

The previous prime is 13537180031. The next prime is 13537180051. The reversal of 13537180041 is 14008173531.

13537180041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13537180031) and next prime (13537180051).

It is not a de Polignac number, because 13537180041 - 2¹³ = 13537171849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13537179984 and 13537180011.

It is not an unprimeable number, because it can be changed into a prime (13537180031) 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, 2661210 + ... + 2666291.

It is an arithmetic number, because the mean of its divisors is an integer number (944743688).

Almost surely, 2^13537180041 is an apocalyptic number.

13537180041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13537180041 is a deficient number, since it is larger than the sum of its proper divisors (9136668471).

13537180041 is a wasteful number, since it uses less digits than its factorization.

13537180041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327533 (or 5327522 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 13537180041 in words is "thirteen billion, five hundred thirty-seven million, one hundred eighty thousand, forty-one".