1253305200 has 240 divisors, whose sum is σ = 4737284096. Its totient is φ = 277171200.

The previous prime is 1253305187. The next prime is 1253305201. The reversal of 1253305200 is 25033521.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253305201) 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 47 ways as a sum of consecutive naturals, for example, 257994 + ... + 262806.

Almost surely, 2^1253305200 is an apocalyptic number.

1253305200 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 1253305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368642048).

1253305200 is an abundant number, since it is smaller than the sum of its proper divisors (3483978896).

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

1253305200 is a wasteful number, since it uses less digits than its factorization.

1253305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 1253305200 is about 35402.0507880546. The cubic root of 1253305200 is about 1078.1659544199.

Adding to 1253305200 its reverse (25033521), we get a palindrome (1278338721).

The spelling of 1253305200 in words is "one billion, two hundred fifty-three million, three hundred five thousand, two hundred".