11005059456525 has 48 divisors (see below), whose sum is σ = 18364850824320. Its totient is φ = 5814601632000.

The previous prime is 11005059456509. The next prime is 11005059456529. The reversal of 11005059456525 is 52565495050011.

It is not a de Polignac number, because 11005059456525 - 2⁴ = 11005059456509 is a prime.

It is a super-2 number, since 2×11005059456525² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005059456529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53451679 + ... + 53657171.

It is an arithmetic number, because the mean of its divisors is an integer number (382601058840).

Almost surely, 2^{11005059456525} is an apocalyptic number.

11005059456525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11005059456525 is a deficient number, since it is larger than the sum of its proper divisors (7359791367795).

11005059456525 is a wasteful number, since it uses less digits than its factorization.

11005059456525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212166 (or 212161 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 48.

The spelling of 11005059456525 in words is "eleven trillion, five billion, fifty-nine million, four hundred fifty-six thousand, five hundred twenty-five".