410221035225 has 135 divisors (see below), whose sum is σ = 780310961199. Its totient is φ = 213050930400.

The previous prime is 410221035167. The next prime is 410221035241. The reversal of 410221035225 is 522530122014.

The square root of 410221035225 is 640485.

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

410221035225 is a `hidden beast` number, since 4 + 10 + 22 + 103 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 147679572681 + 262541462544 = 384291^2 + 512388^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 410221035225 - 2¹⁹ = 410220510937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1239338310 + ... + 1239338640.

Almost surely, 2^410221035225 is an apocalyptic number.

410221035225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

410221035225 is the 640485-th square number.

410221035225 is the 320243-rd centered octagonal number.

It is an amenable number.

410221035225 is a deficient number, since it is larger than the sum of its proper divisors (370089925974).

410221035225 is an frugal number, since it uses more digits than its factorization.

410221035225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 410221035225 its reverse (522530122014), we get a palindrome (932751157239).

The spelling of 410221035225 in words is "four hundred ten billion, two hundred twenty-one million, thirty-five thousand, two hundred twenty-five".