57544575 has 72 divisors (see below), whose sum is σ = 111024144. Its totient is φ = 26188800.

The previous prime is 57544561. The next prime is 57544579.

It is a happy number.

57544575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57544575 - 2¹² = 57540479 is a prime.

It is a super-2 number, since 2×57544575² = 6622756223861250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57544579) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154089 + ... + 154461.

It is an arithmetic number, because the mean of its divisors is an integer number (1542002).

Almost surely, 2^57544575 is an apocalyptic number.

57544575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57544575 is a deficient number, since it is larger than the sum of its proper divisors (53479569).

57544575 is a wasteful number, since it uses less digits than its factorization.

57544575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its digits is 490000, while the sum is 42.

The square root of 57544575 is about 7585.8140631049. The cubic root of 57544575 is about 386.0718431427.

It can be divided in two parts, 575 and 44575, that added together give a triangular number (45150 = T₃₀₀).

The spelling of 57544575 in words is "fifty-seven million, five hundred forty-four thousand, five hundred seventy-five".