201253248 has 320 divisors, whose sum is σ = 710899200. Its totient is φ = 55323648.

The previous prime is 201253231. The next prime is 201253267. The reversal of 201253248 is 842352102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3411043 + ... + 3411101.

It is an arithmetic number, because the mean of its divisors is an integer number (2221560).

Almost surely, 2^201253248 is an apocalyptic number.

201253248 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 201253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355449600).

201253248 is an abundant number, since it is smaller than the sum of its proper divisors (509645952).

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

201253248 is an equidigital number, since it uses as much as digits as its factorization.

201253248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 201253248 is about 14186.3754356072. The cubic root of 201253248 is about 586.0225115310.

The spelling of 201253248 in words is "two hundred one million, two hundred fifty-three thousand, two hundred forty-eight".