57001300 has 18 divisors (see below), whose sum is σ = 123693038. Its totient is φ = 22800480.

The previous prime is 57001279. The next prime is 57001303. The reversal of 57001300 is 310075.

57001300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1140624 + 55860676 = 1068^2 + 7474^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57001303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 284907 + ... + 285106.

Almost surely, 2^57001300 is an apocalyptic number.

57001300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57001300 is an abundant number, since it is smaller than the sum of its proper divisors (66691738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57001300 is a wasteful number, since it uses less digits than its factorization.

57001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570027 (or 570020 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 57001300 is about 7549.9205293831. The cubic root of 57001300 is about 384.8530388665.

Adding to 57001300 its reverse (310075), we get a palindrome (57311375).

The spelling of 57001300 in words is "fifty-seven million, one thousand, three hundred".