1253539200 has 192 divisors, whose sum is σ = 4372287120. Its totient is φ = 314572800.

The previous prime is 1253539187. The next prime is 1253539249. The reversal of 1253539200 is 29353521.

1253539200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159360 + ... + 167040.

Almost surely, 2^1253539200 is an apocalyptic number.

1253539200 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 1253539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186143560).

1253539200 is an abundant number, since it is smaller than the sum of its proper divisors (3118747920).

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

1253539200 is a wasteful number, since it uses less digits than its factorization.

1253539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7725 (or 7708 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 1253539200 is about 35405.3555270950. The cubic root of 1253539200 is about 1078.2330503764.

The spelling of 1253539200 in words is "one billion, two hundred fifty-three million, five hundred thirty-nine thousand, two hundred".