111125556025 has 135 divisors (see below), whose sum is σ = 165678271005. Its totient is φ = 73924804800.

The previous prime is 111125556011. The next prime is 111125556029. The reversal of 111125556025 is 520655521111.

The square root of 111125556025 is 333355.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1527480889 + 109598075136 = 39083^2 + 331056^2 .

It is not a de Polignac number, because 111125556025 - 2²⁹ = 110588685113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111125556029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3831915711 + ... + 3831915739.

Almost surely, 2^111125556025 is an apocalyptic number.

111125556025 is the 333355-th square number.

111125556025 is the 166678-th centered octagonal number.

It is an amenable number.

111125556025 is a deficient number, since it is larger than the sum of its proper divisors (54552714980).

111125556025 is an frugal number, since it uses more digits than its factorization.

111125556025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 34.

The spelling of 111125556025 in words is "one hundred eleven billion, one hundred twenty-five million, five hundred fifty-six thousand, twenty-five".