33805557225 has 192 divisors, whose sum is σ = 70189793280. Its totient is φ = 15810163200.

The previous prime is 33805557211. The next prime is 33805557301. The reversal of 33805557225 is 52275550833.

It is a happy number.

33805557225 is a `hidden beast` number, since 3 + 3 + 8 + 0 + 55 + 572 + 25 = 666.

It is not a de Polignac number, because 33805557225 - 2¹¹ = 33805555177 is a prime.

It is a super-2 number, since 2×33805557225² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25474512 + ... + 25475838.

It is an arithmetic number, because the mean of its divisors is an integer number (365571840).

Almost surely, 2^33805557225 is an apocalyptic number.

It is an amenable number.

33805557225 is an abundant number, since it is smaller than the sum of its proper divisors (36384236055).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33805557225 is a wasteful number, since it uses less digits than its factorization.

33805557225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 33805557225 in words is "thirty-three billion, eight hundred five million, five hundred fifty-seven thousand, two hundred twenty-five".