57352500 has 90 divisors (see below), whose sum is σ = 181231050. Its totient is φ = 15288000.

The previous prime is 57352489. The next prime is 57352531. The reversal of 57352500 is 525375.

It can be written as a sum of positive squares in 5 ways, for example, as 9659664 + 47692836 = 3108^2 + 6906^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21226 + ... + 23774.

Almost surely, 2^57352500 is an apocalyptic number.

57352500 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 57352500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90615525).

57352500 is an abundant number, since it is smaller than the sum of its proper divisors (123878550).

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

57352500 is a wasteful number, since it uses less digits than its factorization.

57352500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 57352500 is about 7573.1433368186. The cubic root of 57352500 is about 385.6418147207.

Adding to 57352500 its reverse (525375), we get a palindrome (57877875).

The spelling of 57352500 in words is "fifty-seven million, three hundred fifty-two thousand, five hundred".