210085639201 has 9 divisors (see below), whose sum is σ = 210913454451. Its totient is φ = 209261065752.

The previous prime is 210085639171. The next prime is 210085639207. The reversal of 210085639201 is 102936580012.

The square root of 210085639201 is 458351.

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., 183410910225 + 26674728976 = 428265^2 + 163324^2 .

It is not a de Polignac number, because 210085639201 - 2²⁵ = 210052084769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210085639207) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140713011 + ... + 140714503.

Almost surely, 2^210085639201 is an apocalyptic number.

210085639201 is the 458351-st square number.

210085639201 is the 229176-th centered octagonal number.

It is an amenable number.

210085639201 is a deficient number, since it is larger than the sum of its proper divisors (827815250).

210085639201 is an frugal number, since it uses more digits than its factorization.

210085639201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 210085639201 in words is "two hundred ten billion, eighty-five million, six hundred thirty-nine thousand, two hundred one".