57540069 has 24 divisors (see below), whose sum is σ = 86667360. Its totient is φ = 36751968.

The previous prime is 57540011. The next prime is 57540073. The reversal of 57540069 is 96004575.

57540069 is a `hidden beast` number, since 57 + 540 + 0 + 69 = 666.

It is not a de Polignac number, because 57540069 - 2¹¹ = 57538021 is a prime.

It is a super-3 number, since 3×57540069³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57540269) 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 23 ways as a sum of consecutive naturals, for example, 21022 + ... + 23600.

It is an arithmetic number, because the mean of its divisors is an integer number (3611140).

Almost surely, 2^57540069 is an apocalyptic number.

It is an amenable number.

57540069 is a deficient number, since it is larger than the sum of its proper divisors (29127291).

57540069 is a wasteful number, since it uses less digits than its factorization.

57540069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57540069 is about 7585.5170555474. The cubic root of 57540069 is about 386.0617658236.

The spelling of 57540069 in words is "fifty-seven million, five hundred forty thousand, sixty-nine".