210753528241 has 27 divisors (see below), whose sum is σ = 222411020889. Its totient is φ = 199699365000.

The previous prime is 210753528199. The next prime is 210753528257. The reversal of 210753528241 is 142825357012.

The square root of 210753528241 is 459079.

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

It is not a de Polignac number, because 210753528241 - 2¹³ = 210753520049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210753528194 and 210753528203.

It is not an unprimeable number, because it can be changed into a prime (210753528941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 839655366 + ... + 839655616.

Almost surely, 2^210753528241 is an apocalyptic number.

210753528241 is the 459079-th square number.

210753528241 is the 229540-th centered octagonal number.

It is an amenable number.

210753528241 is a deficient number, since it is larger than the sum of its proper divisors (11657492648).

210753528241 is an frugal number, since it uses more digits than its factorization.

210753528241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 210753528241 in words is "two hundred ten billion, seven hundred fifty-three million, five hundred twenty-eight thousand, two hundred forty-one".