575013120 has 144 divisors (see below), whose sum is σ = 2003545152. Its totient is φ = 139386880.

The previous prime is 575013119. The next prime is 575013121. The reversal of 575013120 is 21310575.

It is an interprime number because it is at equal distance from previous prime (575013119) and next prime (575013121).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575013121) 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, 35434 + ... + 49046.

It is an arithmetic number, because the mean of its divisors is an integer number (13913508).

Almost surely, 2^575013120 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 575013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001772576).

575013120 is an abundant number, since it is smaller than the sum of its proper divisors (1428532032).

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

575013120 is a wasteful number, since it uses less digits than its factorization.

575013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13648 (or 13634 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 575013120 is about 23979.4311859143. The cubic root of 575013120 is about 831.5580739862.

Adding to 575013120 its reverse (21310575), we get a palindrome (596323695).

The spelling of 575013120 in words is "five hundred seventy-five million, thirteen thousand, one hundred twenty".