201692571826201 has 27 divisors (see below), whose sum is σ = 221905298425629. Its totient is φ = 183276136917888.

The previous prime is 201692571826169. The next prime is 201692571826223. The reversal of 201692571826201 is 102628175296102.

It is a happy number.

The square root of 201692571826201 is 14201851.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19936984057225 + 181755587768976 = 4465085^2 + 13481676^2 .

It is not a de Polignac number, because 201692571826201 - 2⁵ = 201692571826169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201692571826271) 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 in 26 ways as a sum of consecutive naturals, for example, 7001498140 + ... + 7001526946.

Almost surely, 2^{201692571826201} is an apocalyptic number.

201692571826201 is the 14201851-st square number.

201692571826201 is the 7100926-th centered octagonal number.

It is an amenable number.

201692571826201 is a deficient number, since it is larger than the sum of its proper divisors (20212726599428).

201692571826201 is an frugal number, since it uses more digits than its factorization.

201692571826201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57706 (or 28853 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 201692571826201 in words is "two hundred one trillion, six hundred ninety-two billion, five hundred seventy-one million, eight hundred twenty-six thousand, two hundred one".