353531322225 has 135 divisors (see below), whose sum is σ = 667644349779. Its totient is φ = 184939718400.

The previous prime is 353531322223. The next prime is 353531322241. The reversal of 353531322225 is 522223135353.

The square root of 353531322225 is 594585.

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

353531322225 is a `hidden beast` number, since 3 + 53 + 531 + 32 + 22 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 353188924209 + 342398016 = 594297^2 + 18504^2 .

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

It is not a de Polignac number, because 353531322225 - 2¹ = 353531322223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 353531322225.

It is not an unprimeable number, because it can be changed into a prime (353531322223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1953211635 + ... + 1953211815.

Almost surely, 2^353531322225 is an apocalyptic number.

353531322225 is the 594585-th square number.

353531322225 is the 297293-rd centered octagonal number.

It is an amenable number.

353531322225 is a deficient number, since it is larger than the sum of its proper divisors (314113027554).

353531322225 is an frugal number, since it uses more digits than its factorization.

353531322225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 262 counting only the distinct ones).

The product of its digits is 162000, while the sum is 36.

Multiplying 353531322225 by its sum of digits (36), we get a square (12727127600100 = 3567510²).

Adding to 353531322225 its reverse (522223135353), we get a palindrome (875754457578).

The spelling of 353531322225 in words is "three hundred fifty-three billion, five hundred thirty-one million, three hundred twenty-two thousand, two hundred twenty-five".