523540512 has 144 divisors (see below), whose sum is σ = 1652283360. Its totient is φ = 155904000.

The previous prime is 523540499. The next prime is 523540529. The reversal of 523540512 is 215045325.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185512 + ... + 188312.

It is an arithmetic number, because the mean of its divisors is an integer number (11474190).

Almost surely, 2^523540512 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 523540512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826141680).

523540512 is an abundant number, since it is smaller than the sum of its proper divisors (1128742848).

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

523540512 is a wasteful number, since it uses less digits than its factorization.

523540512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 523540512 is about 22881.0076701180. The cubic root of 523540512 is about 805.9660800910.

Adding to 523540512 its reverse (215045325), we get a palindrome (738585837).

The spelling of 523540512 in words is "five hundred twenty-three million, five hundred forty thousand, five hundred twelve".