1260578790025 has 27 divisors (see below), whose sum is σ = 1569765812629. Its totient is φ = 1004192072000.

The previous prime is 1260578790001. The next prime is 1260578790041. The reversal of 1260578790025 is 5200978750621.

It is a happy number.

The square root of 1260578790025 is 1122755.

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 158255182969 + 1102323607056 = 397813^2 + 1049916^2 .

It is not a de Polignac number, because 1260578790025 - 2⁹ = 1260578789513 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 26 ways as a sum of consecutive naturals, for example, 2419536765 + ... + 2419537285.

Almost surely, 2^{1260578790025} is an apocalyptic number.

1260578790025 is the 1122755-th square number.

1260578790025 is the 561378-th centered octagonal number.

It is an amenable number.

1260578790025 is a deficient number, since it is larger than the sum of its proper divisors (309187022604).

1260578790025 is an frugal number, since it uses more digits than its factorization.

1260578790025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 52.

The spelling of 1260578790025 in words is "one trillion, two hundred sixty billion, five hundred seventy-eight million, seven hundred ninety thousand, twenty-five".