33245254233 has 48 divisors (see below), whose sum is σ = 50386461840. Its totient is φ = 21095424000.

The previous prime is 33245254201. The next prime is 33245254241.

It is a happy number.

33245254233 is a `hidden beast` number, since 3 + 32 + 4 + 52 + 542 + 33 = 666.

33245254233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 14887172169 + 18358082064 = 122013^2 + 135492^2 .

It is not a de Polignac number, because 33245254233 - 2⁵ = 33245254201 is a prime.

It is a super-2 number, since 2×33245254233² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (33245254243) 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 47 ways as a sum of consecutive naturals, for example, 6350385 + ... + 6355617.

It is an arithmetic number, because the mean of its divisors is an integer number (1049717955).

Almost surely, 2^33245254233 is an apocalyptic number.

It is an amenable number.

33245254233 is a deficient number, since it is larger than the sum of its proper divisors (17141207607).

33245254233 is a wasteful number, since it uses less digits than its factorization.

33245254233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5607 counting only the distinct ones).

The product of its digits is 259200, while the sum is 36.

The spelling of 33245254233 in words is "thirty-three billion, two hundred forty-five million, two hundred fifty-four thousand, two hundred thirty-three".