33986766025 has 9 divisors (see below), whose sum is σ = 42144732903. Its totient is φ = 27188675400.

The previous prime is 33986766019. The next prime is 33986766029. The reversal of 33986766025 is 52066768933.

The square root of 33986766025 is 184355.

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

It can be written as a sum of positive squares in only one way, i.e., 12235235769 + 21751530256 = 110613^2 + 147484^2 .

It is not a de Polignac number, because 33986766025 - 2¹¹ = 33986763977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33986766029) 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 8 ways as a sum of consecutive naturals, for example, 903340 + ... + 940210.

Almost surely, 2^33986766025 is an apocalyptic number.

33986766025 is the 184355-th square number.

33986766025 is the 92178-th centered octagonal number.

It is an amenable number.

33986766025 is a deficient number, since it is larger than the sum of its proper divisors (8157966878).

33986766025 is an frugal number, since it uses more digits than its factorization.

33986766025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73752 (or 36876 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 33986766025 in words is "thirty-three billion, nine hundred eighty-six million, seven hundred sixty-six thousand, twenty-five".