33004352241 has 81 divisors (see below), whose sum is σ = 57112544619. Its totient is φ = 18312436800.

The previous prime is 33004352197. The next prime is 33004352243. The reversal of 33004352241 is 14225340033.

The square root of 33004352241 is 181671.

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

33004352241 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 435 + 224 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1590334641 + 31414017600 = 39879^2 + 177240^2 .

It is not a de Polignac number, because 33004352241 - 2¹¹ = 33004350193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33004352243) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 156418626 + ... + 156418836.

Almost surely, 2^33004352241 is an apocalyptic number.

33004352241 is the 181671-st square number.

33004352241 is the 90836-th centered octagonal number.

It is an amenable number.

33004352241 is a deficient number, since it is larger than the sum of its proper divisors (24108192378).

33004352241 is an equidigital number, since it uses as much as digits as its factorization.

33004352241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 33004352241 its reverse (14225340033), we get a palindrome (47229692274).

The spelling of 33004352241 in words is "thirty-three billion, four million, three hundred fifty-two thousand, two hundred forty-one".