253055600 has 90 divisors (see below), whose sum is σ = 707280624. Its totient is φ = 86755200.

The previous prime is 253055597. The next prime is 253055611. The reversal of 253055600 is 6550352.

It is a self number, because there is not a number n which added to its sum of digits gives 253055600.

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 17 ways as a sum of consecutive naturals, for example, 13145 + ... + 26055.

Almost surely, 2^253055600 is an apocalyptic number.

253055600 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 253055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353640312).

253055600 is an abundant number, since it is smaller than the sum of its proper divisors (454225024).

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

253055600 is a wasteful number, since it uses less digits than its factorization.

253055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12943 (or 12925 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 253055600 is about 15907.7213955991. The cubic root of 253055600 is about 632.5166821099.

The spelling of 253055600 in words is "two hundred fifty-three million, fifty-five thousand, six hundred".