210946385521 has 9 divisors (see below), whose sum is σ = 224093209249. Its totient is φ = 198530425984.

The previous prime is 210946385501. The next prime is 210946385567. The reversal of 210946385521 is 125583649012.

The square root of 210946385521 is 459289.

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 138950763121 + 71995622400 = 372761^2 + 268320^2 .

It is not a de Polignac number, because 210946385521 - 2¹⁹ = 210945861233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210946385501) 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, 7794405 + ... + 7821421.

Almost surely, 2^210946385521 is an apocalyptic number.

210946385521 is the 459289-th square number.

210946385521 is the 229645-th centered octagonal number.

It is an amenable number.

210946385521 is a deficient number, since it is larger than the sum of its proper divisors (13146823728).

210946385521 is an frugal number, since it uses more digits than its factorization.

210946385521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54068 (or 27034 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 210946385521 in words is "two hundred ten billion, nine hundred forty-six million, three hundred eighty-five thousand, five hundred twenty-one".