52517120 has 72 divisors (see below), whose sum is σ = 127484280. Its totient is φ = 20725760.

The previous prime is 52517077. The next prime is 52517123. The reversal of 52517120 is 2171525.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 215296 + 52301824 = 464^2 + 7232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52517123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113690 + ... + 114150.

It is an arithmetic number, because the mean of its divisors is an integer number (1770615).

Almost surely, 2^52517120 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 52517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63742140).

52517120 is an abundant number, since it is smaller than the sum of its proper divisors (74967160).

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

52517120 is an equidigital number, since it uses as much as digits as its factorization.

52517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 52517120 is about 7246.8696690364. The cubic root of 52517120 is about 374.4843163646.

Adding to 52517120 its reverse (2171525), we get a palindrome (54688645).

Subtracting from 52517120 its reverse (2171525), we obtain a triangular number (50345595 = T₁₀₀₃₄).

The spelling of 52517120 in words is "fifty-two million, five hundred seventeen thousand, one hundred twenty".