253255552 has 128 divisors (see below), whose sum is σ = 581644800. Its totient is φ = 108810240.

The previous prime is 253255549. The next prime is 253255567. The reversal of 253255552 is 255552352.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 2845524 + ... + 2845612.

It is an arithmetic number, because the mean of its divisors is an integer number (4544100).

Almost surely, 2^253255552 is an apocalyptic number.

253255552 is a gapful number since it is divisible by the number (22) 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 253255552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290822400).

253255552 is an abundant number, since it is smaller than the sum of its proper divisors (328389248).

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

253255552 is a wasteful number, since it uses less digits than its factorization.

253255552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its digits is 75000, while the sum is 34.

The square root of 253255552 is about 15914.0049013440. The cubic root of 253255552 is about 632.6832327010.

The spelling of 253255552 in words is "two hundred fifty-three million, two hundred fifty-five thousand, five hundred fifty-two".