520138528 has 288 divisors, whose sum is σ = 1447891200. Its totient is φ = 181149696.

The previous prime is 520138501. The next prime is 520138571. The reversal of 520138528 is 825831025.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 520138493 and 520138502.

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, 6583993 + ... + 6584071.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2^520138528 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 520138528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723945600).

520138528 is an abundant number, since it is smaller than the sum of its proper divisors (927752672).

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

520138528 is a wasteful number, since it uses less digits than its factorization.

520138528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 520138528 is about 22806.5457270495. The cubic root of 520138528 is about 804.2165534672.

The spelling of 520138528 in words is "five hundred twenty million, one hundred thirty-eight thousand, five hundred twenty-eight".