11152505206541 has 16 divisors (see below), whose sum is σ = 11826690638400. Its totient is φ = 10487060777088.

The previous prime is 11152505206519. The next prime is 11152505206607. The reversal of 11152505206541 is 14560250525111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11152505206541 is a prime.

It is a super-2 number, since 2×11152505206541² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11152505206495 and 11152505206504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11152505208541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20247695 + ... + 20791203.

It is an arithmetic number, because the mean of its divisors is an integer number (739168164900).

Almost surely, 2^{11152505206541} is an apocalyptic number.

It is an amenable number.

11152505206541 is a deficient number, since it is larger than the sum of its proper divisors (674185431859).

11152505206541 is a wasteful number, since it uses less digits than its factorization.

11152505206541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551548.

The product of its (nonzero) digits is 60000, while the sum is 38.

The spelling of 11152505206541 in words is "eleven trillion, one hundred fifty-two billion, five hundred five million, two hundred six thousand, five hundred forty-one".