1128959375625 has 135 divisors (see below), whose sum is σ = 2110218313203. Its totient is φ = 581413680000.

The previous prime is 1128959375569. The next prime is 1128959375641. The reversal of 1128959375625 is 5265739598211.

The square root of 1128959375625 is 1062525.

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

1128959375625 is a `hidden beast` number, since 1 + 12 + 8 + 9 + 59 + 3 + 7 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 424649025801 + 704310349824 = 651651^2 + 839232^2 .

It is not a de Polignac number, because 1128959375625 - 2³⁷ = 991520422153 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2470370397 + ... + 2470370853.

Almost surely, 2^{1128959375625} is an apocalyptic number.

1128959375625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1128959375625 is the 1062525-th square number.

1128959375625 is the 531263-rd centered octagonal number.

It is an amenable number.

1128959375625 is a deficient number, since it is larger than the sum of its proper divisors (981258937578).

1128959375625 is an frugal number, since it uses more digits than its factorization.

1128959375625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 496 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 63.

It can be divided in two parts, 1128959375 and 625, that added together give a square (1128960000 = 33600²).

The spelling of 1128959375625 in words is "one trillion, one hundred twenty-eight billion, nine hundred fifty-nine million, three hundred seventy-five thousand, six hundred twenty-five".