33400852081 has 9 divisors (see below), whose sum is σ = 33621421323. Its totient is φ = 33181724040.

The previous prime is 33400852063. The next prime is 33400852123. The reversal of 33400852081 is 18025800433.

It is a happy number.

The square root of 33400852081 is 182759.

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., 19443792481 + 13957059600 = 139441^2 + 118140^2 .

It is not a de Polignac number, because 33400852081 - 2⁹ = 33400851569 is a prime.

It is a super-3 number, since 3×33400852081³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33400852031) 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, 32713351 + ... + 32714371.

Almost surely, 2^33400852081 is an apocalyptic number.

33400852081 is the 182759-th square number.

33400852081 is the 91380-th centered octagonal number.

It is an amenable number.

33400852081 is a deficient number, since it is larger than the sum of its proper divisors (220569242).

33400852081 is an frugal number, since it uses more digits than its factorization.

33400852081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

It can be divided in two parts, 33400 and 852081, that added together give a square (885481 = 941²).

The spelling of 33400852081 in words is "thirty-three billion, four hundred million, eight hundred fifty-two thousand, eighty-one".