1253104320 has 448 divisors, whose sum is σ = 4588093440. Its totient is φ = 287539200.

The previous prime is 1253104319. The next prime is 1253104327. The reversal of 1253104320 is 234013521.

It is not an unprimeable number, because it can be changed into a prime (1253104327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15862041 + ... + 15862119.

It is an arithmetic number, because the mean of its divisors is an integer number (10241280).

Almost surely, 2^1253104320 is an apocalyptic number.

1253104320 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 1253104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294046720).

1253104320 is an abundant number, since it is smaller than the sum of its proper divisors (3334989120).

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

1253104320 is a wasteful number, since it uses less digits than its factorization.

1253104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1253104320 is about 35399.2135505861. The cubic root of 1253104320 is about 1078.1083484595.

Adding to 1253104320 its reverse (234013521), we get a palindrome (1487117841).

The spelling of 1253104320 in words is "one billion, two hundred fifty-three million, one hundred four thousand, three hundred twenty".