1253219200 has 48 divisors (see below), whose sum is σ = 3095850960. Its totient is φ = 501286400.

The previous prime is 1253219153. The next prime is 1253219221. The reversal of 1253219200 is 29123521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 192616 + ... + 199015.

It is an arithmetic number, because the mean of its divisors is an integer number (64496895).

Almost surely, 2^1253219200 is an apocalyptic number.

1253219200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253219200 is an abundant number, since it is smaller than the sum of its proper divisors (1842631760).

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

1253219200 is an equidigital number, since it uses as much as digits as its factorization.

1253219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391655 (or 391638 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1253219200 is about 35400.8361483172. The cubic root of 1253219200 is about 1078.1412931235.

The spelling of 1253219200 in words is "one billion, two hundred fifty-three million, two hundred nineteen thousand, two hundred".