1253232000 has 320 divisors, whose sum is σ = 4659351840. Its totient is φ = 333849600.

The previous prime is 1253231999. The next prime is 1253232049. The reversal of 1253232000 is 2323521.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 1295517 + ... + 1296483.

Almost surely, 2^1253232000 is an apocalyptic number.

1253232000 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 1253232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329675920).

1253232000 is an abundant number, since it is smaller than the sum of its proper divisors (3406119840).

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

1253232000 is an frugal number, since it uses more digits than its factorization.

1253232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1253232000 is about 35401.0169345458. The cubic root of 1253232000 is about 1078.1449637135.

Adding to 1253232000 its reverse (2323521), we get a palindrome (1255555521).

The spelling of 1253232000 in words is "one billion, two hundred fifty-three million, two hundred thirty-two thousand".