1128831876225 has 81 divisors (see below), whose sum is σ = 2037946518153. Its totient is φ = 597292323840.

The previous prime is 1128831876217. The next prime is 1128831876229. The reversal of 1128831876225 is 5226781388211.

It is a happy number.

The square root of 1128831876225 is 1062465.

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

1128831876225 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 8 + 3 + 1 + 8 + 7 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 181550131569 + 947281744656 = 426087^2 + 973284^2 .

It is not a de Polignac number, because 1128831876225 - 2³ = 1128831876217 is a prime.

It is a super-2 number, since 2×1128831876225² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1128831876229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3075835992 + ... + 3075836358.

Almost surely, 2^{1128831876225} is an apocalyptic number.

1128831876225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1128831876225 is the 1062465-th square number.

1128831876225 is the 531233-rd centered octagonal number.

It is an amenable number.

1128831876225 is a deficient number, since it is larger than the sum of its proper divisors (909114641928).

1128831876225 is an frugal number, since it uses more digits than its factorization.

1128831876225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 568 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

It can be divided in two parts, 1128831 and 876225, that added together give a square (2005056 = 1416²).

The spelling of 1128831876225 in words is "one trillion, one hundred twenty-eight billion, eight hundred thirty-one million, eight hundred seventy-six thousand, two hundred twenty-five".