1263825125 has 16 divisors (see below), whose sum is σ = 1593529392. Its totient is φ = 1000627200.

The previous prime is 1263825119. The next prime is 1263825127. The reversal of 1263825125 is 5215283621.

It can be written as a sum of positive squares in 8 ways, for example, as 288762049 + 975063076 = 16993^2 + 31226^2 .

It is not a de Polignac number, because 1263825125 - 2¹⁰ = 1263824101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263825127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39992 + ... + 64241.

It is an arithmetic number, because the mean of its divisors is an integer number (99595587).

Almost surely, 2^1263825125 is an apocalyptic number.

It is an amenable number.

1263825125 is a deficient number, since it is larger than the sum of its proper divisors (329704267).

1263825125 is an equidigital number, since it uses as much as digits as its factorization.

1263825125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104345 (or 104335 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 1263825125 is about 35550.3182123592. The cubic root of 1263825125 is about 1081.1741702309.

The spelling of 1263825125 in words is "one billion, two hundred sixty-three million, eight hundred twenty-five thousand, one hundred twenty-five".