1253053800 has 576 divisors, whose sum is σ = 4874688000. Its totient is φ = 297665280.

The previous prime is 1253053783. The next prime is 1253053801. The reversal of 1253053800 is 83503521.

1253053800 is a `hidden beast` number, since 1 + 2 + 530 + 53 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1253053801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21238171 + ... + 21238229.

It is an arithmetic number, because the mean of its divisors is an integer number (8463000).

Almost surely, 2^1253053800 is an apocalyptic number.

1253053800 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 1253053800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437344000).

1253053800 is an abundant number, since it is smaller than the sum of its proper divisors (3621634200).

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

1253053800 is a wasteful number, since it uses less digits than its factorization.

1253053800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1253053800 is about 35398.4999682190. The cubic root of 1253053800 is about 1078.0938599701.

The spelling of 1253053800 in words is "one billion, two hundred fifty-three million, fifty-three thousand, eight hundred".