13545557624041 has 9 divisors (see below), whose sum is σ = 13840069705149. Its totient is φ = 13257184970604.

The previous prime is 13545557624029. The next prime is 13545557624077. The reversal of 13545557624041 is 14042675554531.

The square root of 13545557624041 is 3680429.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 13545557624041 - 2¹¹ = 13545557621993 is a prime.

It is a super-2 number, since 2×13545557624041² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13545557624041.

It is not an unprimeable number, because it can be changed into a prime (13545557624741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 172941010 + ... + 173019316.

Almost surely, 2^{13545557624041} is an apocalyptic number.

13545557624041 is the 3680429-th square number.

13545557624041 is the 1840215-th centered octagonal number.

It is an amenable number.

13545557624041 is a deficient number, since it is larger than the sum of its proper divisors (294512081108).

13545557624041 is an frugal number, since it uses more digits than its factorization.

13545557624041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156708 (or 78354 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 52.

The spelling of 13545557624041 in words is "thirteen trillion, five hundred forty-five billion, five hundred fifty-seven million, six hundred twenty-four thousand, forty-one".