523535320 has 256 divisors, whose sum is σ = 1551052800. Its totient is φ = 154344960.

The previous prime is 523535317. The next prime is 523535323. The reversal of 523535320 is 23535325.

It is an interprime number because it is at equal distance from previous prime (523535317) and next prime (523535323).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523535323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7813927 + ... + 7813993.

It is an arithmetic number, because the mean of its divisors is an integer number (6058800).

Almost surely, 2^523535320 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 523535320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775526400).

523535320 is an abundant number, since it is smaller than the sum of its proper divisors (1027517480).

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

523535320 is a wasteful number, since it uses less digits than its factorization.

523535320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 28.

The square root of 523535320 is about 22880.8942132951. The cubic root of 523535320 is about 805.9634158020.

The spelling of 523535320 in words is "five hundred twenty-three million, five hundred thirty-five thousand, three hundred twenty".