57361300 has 36 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 22664800.

The previous prime is 57361277. The next prime is 57361321. The reversal of 57361300 is 316375.

It is a happy number.

57361300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4845 + ... + 11755.

It is an arithmetic number, because the mean of its divisors is an integer number (3499776).

Almost surely, 2^57361300 is an apocalyptic number.

57361300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57361300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

57361300 is an abundant number, since it is smaller than the sum of its proper divisors (68630636).

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

57361300 is a wasteful number, since it uses less digits than its factorization.

57361300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7008 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 57361300 is about 7573.7243150249. The cubic root of 57361300 is about 385.6615376297.

Adding to 57361300 its reverse (316375), we get a palindrome (57677675).

The spelling of 57361300 in words is "fifty-seven million, three hundred sixty-one thousand, three hundred".