253537088 has 56 divisors (see below), whose sum is σ = 576754752. Its totient is φ = 108324864.

The previous prime is 253537087. The next prime is 253537091. The reversal of 253537088 is 880735352.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253537087) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 193331 + ... + 194637.

It is an arithmetic number, because the mean of its divisors is an integer number (10299192).

Almost surely, 2^253537088 is an apocalyptic number.

253537088 is a gapful number since it is divisible by the number (28) 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 253537088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288377376).

253537088 is an abundant number, since it is smaller than the sum of its proper divisors (323217664).

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

253537088 is a wasteful number, since it uses less digits than its factorization.

253537088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 253537088 is about 15922.8479864627. The cubic root of 253537088 is about 632.9175903704.

The spelling of 253537088 in words is "two hundred fifty-three million, five hundred thirty-seven thousand, eighty-eight".