201261300 has 288 divisors, whose sum is σ = 679956480. Its totient is φ = 45619200.

The previous prime is 201261289. The next prime is 201261301. The reversal of 201261300 is 3162102.

It is a super-2 number, since 2×201261300² = 81012221755380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201261300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201261301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3003867 + ... + 3003933.

It is an arithmetic number, because the mean of its divisors is an integer number (2360960).

Almost surely, 2^201261300 is an apocalyptic number.

201261300 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 201261300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339978240).

201261300 is an abundant number, since it is smaller than the sum of its proper divisors (478695180).

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

201261300 is a wasteful number, since it uses less digits than its factorization.

201261300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 201261300 is about 14186.6592261885. The cubic root of 201261300 is about 586.0303268754.

The spelling of 201261300 in words is "two hundred one million, two hundred sixty-one thousand, three hundred".