1115965585225 has 24 divisors (see below), whose sum is σ = 1472634827928. Its totient is φ = 835991116800.

The previous prime is 1115965585223. The next prime is 1115965585243. The reversal of 1115965585225 is 5225855695111.

It can be written as a sum of positive squares in 12 ways, for example, as 78818878009 + 1037146707216 = 280747^2 + 1018404^2 .

It is not a de Polignac number, because 1115965585225 - 2¹ = 1115965585223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1115965585223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6580746 + ... + 6748195.

It is an arithmetic number, because the mean of its divisors is an integer number (61359784497).

Almost surely, 2^{1115965585225} is an apocalyptic number.

It is an amenable number.

1115965585225 is a deficient number, since it is larger than the sum of its proper divisors (356669242703).

1115965585225 is a wasteful number, since it uses less digits than its factorization.

1115965585225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13329165 (or 13329160 counting only the distinct ones).

The product of its digits is 5400000, while the sum is 55.

The spelling of 1115965585225 in words is "one trillion, one hundred fifteen billion, nine hundred sixty-five million, five hundred eighty-five thousand, two hundred twenty-five".