33531103225 has 27 divisors (see below), whose sum is σ = 42439288269. Its totient is φ = 26280664800.

The previous prime is 33531103223. The next prime is 33531103247. The reversal of 33531103225 is 52230113533.

The square root of 33531103225 is 183115.

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 252587449 + 33278515776 = 15893^2 + 182424^2 .

It is not a de Polignac number, because 33531103225 - 2¹ = 33531103223 is a prime.

It is a super-2 number, since 2×33531103225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33531103193 and 33531103202.

It is not an unprimeable number, because it can be changed into a prime (33531103223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48525130 + ... + 48525820.

Almost surely, 2^33531103225 is an apocalyptic number.

33531103225 is the 183115-th square number.

33531103225 is the 91558-th centered octagonal number.

It is an amenable number.

33531103225 is a deficient number, since it is larger than the sum of its proper divisors (8908185044).

33531103225 is an frugal number, since it uses more digits than its factorization.

33531103225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

Multiplying 33531103225 by its product of nonzero digits (8100), we get a square (271601936122500 = 16480350²).

Adding to 33531103225 its reverse (52230113533), we get a palindrome (85761216758).

The spelling of 33531103225 in words is "thirty-three billion, five hundred thirty-one million, one hundred three thousand, two hundred twenty-five".