33406775325 has 360 divisors, whose sum is σ = 79474627584. Its totient is φ = 13716864000.

The previous prime is 33406775323. The next prime is 33406775333. The reversal of 33406775325 is 52357760433.

33406775325 is a `hidden beast` number, since 3 + 3 + 40 + 6 + 77 + 532 + 5 = 666.

It is not a de Polignac number, because 33406775325 - 2¹ = 33406775323 is a prime.

It is a super-3 number, since 3×33406775325³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33406775321) 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 359 ways as a sum of consecutive naturals, for example, 138617205 + ... + 138617445.

Almost surely, 2^33406775325 is an apocalyptic number.

33406775325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33406775325 is an abundant number, since it is smaller than the sum of its proper divisors (46067852259).

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

33406775325 is a wasteful number, since it uses less digits than its factorization.

33406775325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 45.

The spelling of 33406775325 in words is "thirty-three billion, four hundred six million, seven hundred seventy-five thousand, three hundred twenty-five".