202085312521 has 9 divisors (see below), whose sum is σ = 204421918183. Its totient is φ = 199775131600.

The previous prime is 202085312509. The next prime is 202085312587. The reversal of 202085312521 is 125213580202.

The square root of 202085312521 is 449539.

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., 38804666121 + 163280646400 = 196989^2 + 404080^2 .

It is not a de Polignac number, because 202085312521 - 2⁷ = 202085312393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202085312021) 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, 40006446 + ... + 40011496.

Almost surely, 2^202085312521 is an apocalyptic number.

202085312521 is the 449539-th square number.

202085312521 is the 224770-th centered octagonal number.

It is an amenable number.

202085312521 is a deficient number, since it is larger than the sum of its proper divisors (2336605662).

202085312521 is an frugal number, since it uses more digits than its factorization.

202085312521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10280 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 202085312521 its reverse (125213580202), we get a palindrome (327298892723).

The spelling of 202085312521 in words is "two hundred two billion, eighty-five million, three hundred twelve thousand, five hundred twenty-one".