33198662025 has 45 divisors (see below), whose sum is σ = 61510589701. Its totient is φ = 17701580160.

The previous prime is 33198662023. The next prime is 33198662051. The reversal of 33198662025 is 52026689133.

The square root of 33198662025 is 182205.

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

33198662025 is a `hidden beast` number, since 3 + 3 + 19 + 8 + 6 + 620 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5284272249 + 27914389776 = 72693^2 + 167076^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 33198662025 - 2¹ = 33198662023 is a prime.

It is a super-2 number, since 2×33198662025² (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33198662023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8197201 + ... + 8201249.

Almost surely, 2^33198662025 is an apocalyptic number.

33198662025 is the 182205-th square number.

33198662025 is the 91103-rd centered octagonal number.

It is an amenable number.

33198662025 is a deficient number, since it is larger than the sum of its proper divisors (28311927676).

33198662025 is an frugal number, since it uses more digits than its factorization.

33198662025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 33198662025 in words is "thirty-three billion, one hundred ninety-eight million, six hundred sixty-two thousand, twenty-five".