201261320 has 64 divisors (see below), whose sum is σ = 489510000. Its totient is φ = 74032128.

The previous prime is 201261301. The next prime is 201261337. The reversal of 201261320 is 23162102.

201261320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 18957316 + 182304004 = 4354^2 + 13502^2 .

It is a super-2 number, since 2×201261320² = 81012237856284800, which contains 22 as substring.

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, 180926 + ... + 182034.

Almost surely, 2^201261320 is an apocalyptic number.

201261320 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 201261320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244755000).

201261320 is an abundant number, since it is smaller than the sum of its proper divisors (288248680).

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

201261320 is a wasteful number, since it uses less digits than its factorization.

201261320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 201261320 is about 14186.6599310761. The cubic root of 201261320 is about 586.0303462873.

The spelling of 201261320 in words is "two hundred one million, two hundred sixty-one thousand, three hundred twenty".