11523321252153 has 48 divisors (see below), whose sum is σ = 17259547528080. Its totient is φ = 7403948697600.

The previous prime is 11523321252133. The next prime is 11523321252169. The reversal of 11523321252153 is 35125212332511.

11523321252153 is a `hidden beast` number, since 1 + 1 + 5 + 233 + 21 + 252 + 153 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4516781073984 + 7006540178169 = 2125272^2 + 2646987^2 .

It is not a de Polignac number, because 11523321252153 - 2¹⁶ = 11523321186617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11523321252133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21882613 + ... + 22403021.

It is an arithmetic number, because the mean of its divisors is an integer number (359573906835).

Almost surely, 2^{11523321252153} is an apocalyptic number.

It is an amenable number.

11523321252153 is a deficient number, since it is larger than the sum of its proper divisors (5736226275927).

11523321252153 is a wasteful number, since it uses less digits than its factorization.

11523321252153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521290 (or 521287 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

Adding to 11523321252153 its reverse (35125212332511), we get a palindrome (46648533584664).

The spelling of 11523321252153 in words is "eleven trillion, five hundred twenty-three billion, three hundred twenty-one million, two hundred fifty-two thousand, one hundred fifty-three".