523152648 has 64 divisors (see below), whose sum is σ = 1459852800. Its totient is φ = 173586240.

The previous prime is 523152647. The next prime is 523152667. The reversal of 523152648 is 846251325.

523152648 is a `hidden beast` number, since 5 + 2 + 3 + 1 + 5 + 2 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (523152647) 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, 42738 + ... + 53598.

It is an arithmetic number, because the mean of its divisors is an integer number (22810200).

Almost surely, 2^523152648 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 523152648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729926400).

523152648 is an abundant number, since it is smaller than the sum of its proper divisors (936700152).

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

523152648 is a wasteful number, since it uses less digits than its factorization.

523152648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11099 (or 11089 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 523152648 is about 22872.5304240698. The cubic root of 523152648 is about 805.7669981034.

The spelling of 523152648 in words is "five hundred twenty-three million, one hundred fifty-two thousand, six hundred forty-eight".