1256125 has 16 divisors (see below), whose sum is σ = 1690416. Its totient is φ = 926400.

The previous prime is 1256107. The next prime is 1256149. The reversal of 1256125 is 5216521.

It can be written as a sum of positive squares in 8 ways, for example, as 962361 + 293764 = 981^2 + 542^2 .

It is not a de Polignac number, because 1256125 - 2⁷ = 1255997 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1256096 and 1256105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239 + ... + 2011.

It is an arithmetic number, because the mean of its divisors is an integer number (105651).

2^1256125 is an apocalyptic number.

It is an amenable number.

1256125 is a deficient number, since it is larger than the sum of its proper divisors (434291).

1256125 is an equidigital number, since it uses as much as digits as its factorization.

1256125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 791 counting only the distinct ones).

The product of its digits is 600, while the sum is 22.

The square root of 1256125 is about 1120.7698247187. The cubic root of 1256125 is about 107.8973934034.

It can be divided in two parts, 125 and 6125, that multiplied together give a square (765625 = 875²).

The spelling of 1256125 in words is "one million, two hundred fifty-six thousand, one hundred twenty-five".