1252509 has 16 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 765440.

The previous prime is 1252507. The next prime is 1252523. The reversal of 1252509 is 9052521.

It is a cyclic number.

It is not a de Polignac number, because 1252509 - 2¹ = 1252507 is a prime.

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

1252509 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252507) 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 15 ways as a sum of consecutive naturals, for example, 1792 + ... + 2390.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

2^1252509 is an apocalyptic number.

It is an amenable number.

1252509 is a deficient number, since it is larger than the sum of its proper divisors (561891).

1252509 is a wasteful number, since it uses less digits than its factorization.

With its successor (1252510) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (660).

1252509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1252509 is about 1119.1554851762. The cubic root of 1252509 is about 107.7937593555.

The spelling of 1252509 in words is "one million, two hundred fifty-two thousand, five hundred nine".