1252125 has 64 divisors (see below), whose sum is σ = 2695680. Its totient is φ = 561600.

The previous prime is 1252123. The next prime is 1252129. The reversal of 1252125 is 5212521.

1252125 = 61³ + 62³ + ... + 65³.

It is not a de Polignac number, because 1252125 - 2¹ = 1252123 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1252098 and 1252107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252123) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 23599 + ... + 23651.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2^1252125 is an apocalyptic number.

1252125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1252125 is an abundant number, since it is smaller than the sum of its proper divisors (1443555).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1252125 is an equidigital number, since it uses as much as digits as its factorization.

1252125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 1252125 is about 1118.9839140935. The cubic root of 1252125 is about 107.7827422598.

Adding to 1252125 its reverse (5212521), we get a palindrome (6464646).

The spelling of 1252125 in words is "one million, two hundred fifty-two thousand, one hundred twenty-five".