11533262162137 has 8 divisors (see below), whose sum is σ = 11570992639880. Its totient is φ = 11495578181760.

The previous prime is 11533262162131. The next prime is 11533262162159. The reversal of 11533262162137 is 73126126233511.

It can be written as a sum of positive squares in 4 ways, for example, as 2874343861321 + 8658918300816 = 1695389^2 + 2942604^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11533262162137 is a prime.

It is a super-2 number, since 2×11533262162137² (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 = 11533262162093 and 11533262162102.

It is not an unprimeable number, because it can be changed into a prime (11533262162131) 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, 11127414 + ... + 12119647.

It is an arithmetic number, because the mean of its divisors is an integer number (1446374079985).

Almost surely, 2^{11533262162137} is an apocalyptic number.

It is an amenable number.

11533262162137 is a deficient number, since it is larger than the sum of its proper divisors (37730477743).

11533262162137 is a wasteful number, since it uses less digits than its factorization.

11533262162137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23248683.

The product of its digits is 272160, while the sum is 43.

Adding to 11533262162137 its reverse (73126126233511), we get a palindrome (84659388395648).

The spelling of 11533262162137 in words is "eleven trillion, five hundred thirty-three billion, two hundred sixty-two million, one hundred sixty-two thousand, one hundred thirty-seven".