201501300 has 432 divisors, whose sum is σ = 801643136. Its totient is φ = 38016000.

The previous prime is 201501299. The next prime is 201501329. The reversal of 201501300 is 3105102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3303270 + ... + 3303330.

Almost surely, 2^201501300 is an apocalyptic number.

201501300 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 201501300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400821568).

201501300 is an abundant number, since it is smaller than the sum of its proper divisors (600141836).

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

201501300 is a wasteful number, since it uses less digits than its factorization.

201501300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 201501300 is about 14195.1153570515. The cubic root of 201501300 is about 586.2631774186.

Adding to 201501300 its reverse (3105102), we get a palindrome (204606402).

It can be divided in two parts, 201 and 501300, that added together give a triangular number (501501 = T₁₀₀₁).

The spelling of 201501300 in words is "two hundred one million, five hundred one thousand, three hundred".