1253525200 has 60 divisors (see below), whose sum is σ = 3020153920. Its totient is φ = 499985280.

The previous prime is 1253525197. The next prime is 1253525201. The reversal of 1253525200 is 25253521.

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 not an unprimeable number, because it can be changed into a prime (1253525201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142531 + ... + 151069.

Almost surely, 2^1253525200 is an apocalyptic number.

1253525200 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 1253525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510076960).

1253525200 is an abundant number, since it is smaller than the sum of its proper divisors (1766628720).

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

1253525200 is a wasteful number, since it uses less digits than its factorization.

1253525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924 (or 8913 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 1253525200 is about 35405.1578163408. The cubic root of 1253525200 is about 1078.2290363232.

Adding to 1253525200 its reverse (25253521), we get a palindrome (1278778721).

The spelling of 1253525200 in words is "one billion, two hundred fifty-three million, five hundred twenty-five thousand, two hundred".