1253043312 has 320 divisors, whose sum is σ = 3839754240. Its totient is φ = 349747200.

The previous prime is 1253043277. The next prime is 1253043317. The reversal of 1253043312 is 2133403521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253043317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26660473 + ... + 26660519.

It is an arithmetic number, because the mean of its divisors is an integer number (11999232).

Almost surely, 2^1253043312 is an apocalyptic number.

1253043312 is a gapful number since it is divisible by the number (12) 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 1253043312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919877120).

1253043312 is an abundant number, since it is smaller than the sum of its proper divisors (2586710928).

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

1253043312 is a wasteful number, since it uses less digits than its factorization.

1253043312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1253043312 is about 35398.3518260385. The cubic root of 1253043312 is about 1078.0908520972.

Adding to 1253043312 its reverse (2133403521), we get a palindrome (3386446833).

The spelling of 1253043312 in words is "one billion, two hundred fifty-three million, forty-three thousand, three hundred twelve".