57066075 has 36 divisors (see below), whose sum is σ = 111508488. Its totient is φ = 27667200.

The previous prime is 57066041. The next prime is 57066077.

57066075 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57066075 - 2⁶ = 57066011 is a prime.

It is a super-3 number, since 3×57066075³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (57066077) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9054 + ... + 14003.

It is an arithmetic number, because the mean of its divisors is an integer number (3097458).

Almost surely, 2^57066075 is an apocalyptic number.

57066075 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57066075 is a deficient number, since it is larger than the sum of its proper divisors (54442413).

57066075 is a wasteful number, since it uses less digits than its factorization.

57066075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23084 (or 23076 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 57066075 is about 7554.2090916257. The cubic root of 57066075 is about 384.9987631376.

It can be divided in two parts, 5706 and 6075, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 57066075 in words is "fifty-seven million, sixty-six thousand, seventy-five".