1257125 has 16 divisors (see below), whose sum is σ = 1600560. Its totient is φ = 985600.

The previous prime is 1257119. The next prime is 1257131. The reversal of 1257125 is 5217521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1257119) and next prime (1257131).

It can be written as a sum of positive squares in 8 ways, for example, as 996004 + 261121 = 998^2 + 511^2 .

It is not a de Polignac number, because 1257125 - 2¹⁴ = 1240741 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1257125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11069 + ... + 11181.

It is an arithmetic number, because the mean of its divisors is an integer number (100035).

2^1257125 is an apocalyptic number.

It is an amenable number.

1257125 is a deficient number, since it is larger than the sum of its proper divisors (343435).

1257125 is an equidigital number, since it uses as much as digits as its factorization.

1257125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its digits is 700, while the sum is 23.

The square root of 1257125 is about 1121.2158578971. The cubic root of 1257125 is about 107.9260181485.

The spelling of 1257125 in words is "one million, two hundred fifty-seven thousand, one hundred twenty-five".