523531008 has 432 divisors, whose sum is σ = 2035627776. Its totient is φ = 124968960.

The previous prime is 523531003. The next prime is 523531027. The reversal of 523531008 is 800135325.

It is not an unprimeable number, because it can be changed into a prime (523531003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2306191 + ... + 2306417.

Almost surely, 2^523531008 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 523531008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017813888).

523531008 is an abundant number, since it is smaller than the sum of its proper divisors (1512096768).

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

523531008 is a wasteful number, since it uses less digits than its factorization.

523531008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 523531008 is about 22880.7999860145. The cubic root of 523531008 is about 805.9612030740.

It can be divided in two parts, 52353 and 1008, that added together give a square (53361 = 231²).

The spelling of 523531008 in words is "five hundred twenty-three million, five hundred thirty-one thousand, eight".