352212575625 has 135 divisors (see below), whose sum is σ = 655013576217. Its totient is φ = 182315520000.

The previous prime is 352212575591. The next prime is 352212575647. The reversal of 352212575625 is 526575212253.

The square root of 352212575625 is 593475.

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

352212575625 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 12 + 5 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 67235971401 + 284976604224 = 259299^2 + 533832^2 .

It is not a de Polignac number, because 352212575625 - 2¹³ = 352212567433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1824935529 + ... + 1824935721.

Almost surely, 2^352212575625 is an apocalyptic number.

352212575625 is the 593475-th square number.

352212575625 is the 296738-th centered octagonal number.

It is an amenable number.

352212575625 is a deficient number, since it is larger than the sum of its proper divisors (302801000592).

352212575625 is an frugal number, since it uses more digits than its factorization.

352212575625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 242 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 45.

Adding to 352212575625 its reverse (526575212253), we get a palindrome (878787787878).

The spelling of 352212575625 in words is "three hundred fifty-two billion, two hundred twelve million, five hundred seventy-five thousand, six hundred twenty-five".