57109520 has 80 divisors (see below), whose sum is σ = 144834480. Its totient is φ = 20815872.

The previous prime is 57109519. The next prime is 57109523. The reversal of 57109520 is 2590175.

It can be written as a sum of positive squares in 8 ways, for example, as 25928464 + 31181056 = 5092^2 + 5584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×57109520² = 6522994549260800, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57109523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92252 + ... + 92868.

It is an arithmetic number, because the mean of its divisors is an integer number (1810431).

Almost surely, 2^57109520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57109520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72417240).

57109520 is an abundant number, since it is smaller than the sum of its proper divisors (87724960).

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

57109520 is a wasteful number, since it uses less digits than its factorization.

57109520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 57109520 is about 7557.0840937494. The cubic root of 57109520 is about 385.0964395501.

Adding to 57109520 its reverse (2590175), we get a palindrome (59699695).

The spelling of 57109520 in words is "fifty-seven million, one hundred nine thousand, five hundred twenty".