1253354304 has 112 divisors (see below), whose sum is σ = 3603630080. Its totient is φ = 382993920.

The previous prime is 1253354293. The next prime is 1253354309. The reversal of 1253354304 is 4034533521.

It is a super-2 number, since 2×1253354304² = 3141794022710648832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253354309) 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 15 ways as a sum of consecutive naturals, for example, 107547 + ... + 118629.

Almost surely, 2^1253354304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801815040).

1253354304 is an abundant number, since it is smaller than the sum of its proper divisors (2350275776).

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

1253354304 is a wasteful number, since it uses less digits than its factorization.

1253354304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11148 (or 11138 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 1253354304 is about 35402.7443004070. The cubic root of 1253354304 is about 1078.1800349406.

Adding to 1253354304 its reverse (4034533521), we get a palindrome (5287887825).

The spelling of 1253354304 in words is "one billion, two hundred fifty-three million, three hundred fifty-four thousand, three hundred four".