1263825 has 36 divisors (see below), whose sum is σ = 2335788. Its totient is φ = 652800.

The previous prime is 1263817. The next prime is 1263853. The reversal of 1263825 is 5283621.

1263825 is a `hidden beast` number, since 1 + 2 + 638 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 173889 + 1089936 = 417^2 + 1044^2 .

It is not a de Polignac number, because 1263825 - 2³ = 1263817 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9157 + ... + 9293.

It is an arithmetic number, because the mean of its divisors is an integer number (64883).

2^1263825 is an apocalyptic number.

1263825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1263825 is a deficient number, since it is larger than the sum of its proper divisors (1071963).

1263825 is a wasteful number, since it uses less digits than its factorization.

1263825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1263825 is about 1124.1997153531. The cubic root of 1263825 is about 108.1174134586.

The spelling of 1263825 in words is "one million, two hundred sixty-three thousand, eight hundred twenty-five".