1253312000 has 80 divisors (see below), whose sum is σ = 3125371392. Its totient is φ = 501299200.

The previous prime is 1253311999. The next prime is 1253312017. The reversal of 1253312000 is 2133521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1253312000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54209 + ... + 73791.

Almost surely, 2^1253312000 is an apocalyptic number.

1253312000 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 1253312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562685696).

1253312000 is an abundant number, since it is smaller than the sum of its proper divisors (1872059392).

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

1253312000 is an frugal number, since it uses more digits than its factorization.

1253312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19616 (or 19590 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1253312000 is about 35402.1468275584. The cubic root of 1253312000 is about 1078.1679043347.

Adding to 1253312000 its reverse (2133521), we get a palindrome (1255445521).

The spelling of 1253312000 in words is "one billion, two hundred fifty-three million, three hundred twelve thousand".