201384509382001 has 15 divisors (see below), whose sum is σ = 221523473663515. Its totient is φ = 183075265700800.

The previous prime is 201384509381999. The next prime is 201384509382037. The reversal of 201384509382001 is 100283905483102.

The square root of 201384509382001 is 14191001.

It is a perfect power (a square), and thus also a powerful number.

201384509382001 is digitally balanced in base 2, 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 only one way, i.e., 190004142071601 + 11380367310400 = 13784199^2 + 3373480^2 .

It is not a de Polignac number, because 201384509382001 - 2¹ = 201384509381999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201384509382701) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1717052481 + ... + 1717169761.

Almost surely, 2^{201384509382001} is an apocalyptic number.

201384509382001 is the 14191001-st square number.

201384509382001 is the 7095501-st centered octagonal number.

It is an amenable number.

201384509382001 is a deficient number, since it is larger than the sum of its proper divisors (20138964281514).

201384509382001 is an frugal number, since it uses more digits than its factorization.

201384509382001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234606 (or 117292 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 201384509382001 in words is "two hundred one trillion, three hundred eighty-four billion, five hundred nine million, three hundred eighty-two thousand, one".