11045131314525 has 192 divisors, whose sum is σ = 25300526376960. Its totient is φ = 4589547609600.

The previous prime is 11045131314509. The next prime is 11045131314527. The reversal of 11045131314525 is 52541313154011.

11045131314525 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 513 + 131 + 4 + 5 + 2 + 5 = 666.

It is not a de Polignac number, because 11045131314525 - 2⁴ = 11045131314509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11045131314525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11045131314527) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 652121857 + ... + 652138793.

It is an arithmetic number, because the mean of its divisors is an integer number (131773574880).

Almost surely, 2^{11045131314525} is an apocalyptic number.

11045131314525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11045131314525 is an abundant number, since it is smaller than the sum of its proper divisors (14255395062435).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11045131314525 is a wasteful number, since it uses less digits than its factorization.

11045131314525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29521 (or 29510 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 11045131314525 its reverse (52541313154011), we get a palindrome (63586444468536).

The spelling of 11045131314525 in words is "eleven trillion, forty-five billion, one hundred thirty-one million, three hundred fourteen thousand, five hundred twenty-five".