201248010 has 64 divisors (see below), whose sum is σ = 540979200. Its totient is φ = 53234496.

The previous prime is 201247919. The next prime is 201248011. The reversal of 201248010 is 10842102.

It is a super-3 number, since 3×201248010³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201248011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31356 + ... + 37224.

It is an arithmetic number, because the mean of its divisors is an integer number (8452800).

Almost surely, 2^201248010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201248010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270489600).

201248010 is an abundant number, since it is smaller than the sum of its proper divisors (339731190).

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

201248010 is a wasteful number, since it uses less digits than its factorization.

201248010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 201248010 is about 14186.1908206537. The cubic root of 201248010 is about 586.0174273687.

The spelling of 201248010 in words is "two hundred one million, two hundred forty-eight thousand, ten".