1127280625 has 45 divisors (see below), whose sum is σ = 1515567207. Its totient is φ = 838032000.

The previous prime is 1127280619. The next prime is 1127280643. The reversal of 1127280625 is 5260827211.

It is a happy number.

The square root of 1127280625 is 33575.

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

It can be written as a sum of positive squares in 7 ways, for example, as 550512369 + 576768256 = 23463^2 + 24016^2 .

It is not a de Polignac number, because 1127280625 - 2³ = 1127280617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 14269336 + ... + 14269414.

Almost surely, 2^1127280625 is an apocalyptic number.

1127280625 is the 33575-th square number.

1127280625 is the 16788-th centered octagonal number.

It is an amenable number.

1127280625 is a deficient number, since it is larger than the sum of its proper divisors (388286582).

1127280625 is an frugal number, since it uses more digits than its factorization.

1127280625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The cubic root of 1127280625 is about 1040.7442358421.

The spelling of 1127280625 in words is "one billion, one hundred twenty-seven million, two hundred eighty thousand, six hundred twenty-five".