1253000 has 64 divisors (see below), whose sum is σ = 3369600. Its totient is φ = 427200.

The previous prime is 1252997. The next prime is 1253011. The reversal of 1253000 is 3521.

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, 6911 + ... + 7089.

It is an arithmetic number, because the mean of its divisors is an integer number (52650).

2^1253000 is an apocalyptic number.

1253000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684800).

1253000 is an abundant number, since it is smaller than the sum of its proper divisors (2116600).

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

1253000 is a wasteful number, since it uses less digits than its factorization.

1253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 1253000 is about 1119.3748255165. The cubic root of 1253000 is about 107.8078430391.

Adding to 1253000 its reverse (3521), we get a palindrome (1256521).

It can be divided in two parts, 125 and 3000, that added together give a 5-th power (3125 = 5⁵).

The spelling of 1253000 in words is "one million, two hundred fifty-three thousand".