253120000 has 200 divisors, whose sum is σ = 728654256. Its totient is φ = 86016000.

The previous prime is 253119989. The next prime is 253120001. The reversal of 253120000 is 21352.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2239944 + ... + 2240056.

Almost surely, 2^253120000 is an apocalyptic number.

253120000 is a gapful number since it is divisible by the number (20) 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 253120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364327128).

253120000 is an abundant number, since it is smaller than the sum of its proper divisors (475534256).

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

253120000 is an frugal number, since it uses more digits than its factorization.

253120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 253120000 is about 15909.7454410811. The cubic root of 253120000 is about 632.5703338493.

Adding to 253120000 its reverse (21352), we get a palindrome (253141352).

The spelling of 253120000 in words is "two hundred fifty-three million, one hundred twenty thousand".