201828382001 has 2 divisors, whose sum is σ = 201828382002. Its totient is φ = 201828382000.

The previous prime is 201828381949. The next prime is 201828382009. The reversal of 201828382001 is 100283828102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192874680625 + 8953701376 = 439175^2 + 94624^2 .

It is a cyclic number.

It is not a de Polignac number, because 201828382001 - 2³⁴ = 184648512817 is a prime.

It is a super-2 number, since 2×201828382001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201828382009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100914191000 + 100914191001.

It is an arithmetic number, because the mean of its divisors is an integer number (100914191001).

Almost surely, 2^201828382001 is an apocalyptic number.

It is an amenable number.

201828382001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201828382001 is an equidigital number, since it uses as much as digits as its factorization.

201828382001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 35.

The spelling of 201828382001 in words is "two hundred one billion, eight hundred twenty-eight million, three hundred eighty-two thousand, one".