1253413800 has 144 divisors (see below), whose sum is σ = 4243299840. Its totient is φ = 331551360.

The previous prime is 1253413771. The next prime is 1253413807. The reversal of 1253413800 is 83143521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1253413807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 225859 + ... + 231341.

It is an arithmetic number, because the mean of its divisors is an integer number (29467360).

Almost surely, 2^1253413800 is an apocalyptic number.

1253413800 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 1253413800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121649920).

1253413800 is an abundant number, since it is smaller than the sum of its proper divisors (2989886040).

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

1253413800 is a wasteful number, since it uses less digits than its factorization.

1253413800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1253413800 is about 35403.5845642782. The cubic root of 1253413800 is about 1078.1970948638.

The spelling of 1253413800 in words is "one billion, two hundred fifty-three million, four hundred thirteen thousand, eight hundred".