11525504511006 has 24 divisors (see below), whose sum is σ = 25130983302984. Its totient is φ = 3817364550480.

The previous prime is 11525504510999. The next prime is 11525504511041. The reversal of 11525504511006 is 60011540552511.

11525504511006 is a `hidden beast` number, since 1 + 1 + 52 + 5 + 50 + 451 + 100 + 6 = 666.

It is a super-4 number, since 4×11525504511006⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2039187640 + ... + 2039193291.

It is an arithmetic number, because the mean of its divisors is an integer number (1047124304291).

Almost surely, 2^{11525504511006} is an apocalyptic number.

11525504511006 is an abundant number, since it is smaller than the sum of its proper divisors (13605478791978).

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

11525504511006 is a wasteful number, since it uses less digits than its factorization.

11525504511006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078381096 (or 4078381093 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 11525504511006 in words is "eleven trillion, five hundred twenty-five billion, five hundred four million, five hundred eleven thousand, six".