842538574201 has 9 divisors (see below), whose sum is σ = 850165312399. Its totient is φ = 834979675936.

The previous prime is 842538574187. The next prime is 842538574219. The reversal of 842538574201 is 102475835248.

The square root of 842538574201 is 917899.

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

It can be written as a sum of positive squares in only one way, i.e., 14846204025 + 827692370176 = 121845^2 + 909776^2 .

It is not a de Polignac number, because 842538574201 - 2⁵ = 842538574169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (842538574231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 103718526 + ... + 103726648.

Almost surely, 2^842538574201 is an apocalyptic number.

842538574201 is the 917899-th square number.

842538574201 is the 458950-th centered octagonal number.

It is an amenable number.

842538574201 is a deficient number, since it is larger than the sum of its proper divisors (7626738198).

842538574201 is an frugal number, since it uses more digits than its factorization.

842538574201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16472 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 49.

Multiplying 842538574201 by its sum of digits (49), we get a square (41284390135849 = 6425293²).

The spelling of 842538574201 in words is "eight hundred forty-two billion, five hundred thirty-eight million, five hundred seventy-four thousand, two hundred one".