520017120 has 288 divisors, whose sum is σ = 2117187072. Its totient is φ = 113642496.

The previous prime is 520017059. The next prime is 520017133. The reversal of 520017120 is 21710025.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 520017093 and 520017102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230719 + ... + 232961.

It is an arithmetic number, because the mean of its divisors is an integer number (7351344).

Almost surely, 2^520017120 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 520017120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058593536).

520017120 is an abundant number, since it is smaller than the sum of its proper divisors (1597169952).

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

520017120 is a wasteful number, since it uses less digits than its factorization.

520017120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 520017120 is about 22803.8838797254. The cubic root of 520017120 is about 804.1539765985.

Adding to 520017120 its reverse (21710025), we get a palindrome (541727145).

The spelling of 520017120 in words is "five hundred twenty million, seventeen thousand, one hundred twenty".