57540033 has 24 divisors (see below), whose sum is σ = 85924800. Its totient is φ = 37084320.

The previous prime is 57540011. The next prime is 57540073. The reversal of 57540033 is 33004575.

It is a happy number.

It is not a de Polignac number, because 57540033 - 2⁵ = 57540001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57539979 and 57540006.

It is not an unprimeable number, because it can be changed into a prime (57540073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33018 + ... + 34716.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^57540033 is an apocalyptic number.

57540033 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

57540033 is a deficient number, since it is larger than the sum of its proper divisors (28384767).

57540033 is a wasteful number, since it uses less digits than its factorization.

57540033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 57540033 is about 7585.5146826039. The cubic root of 57540033 is about 386.0616853103.

The spelling of 57540033 in words is "fifty-seven million, five hundred forty thousand, thirty-three".