523055104 has 208 divisors, whose sum is σ = 1321044480. Its totient is φ = 203489280.

The previous prime is 523055089. The next prime is 523055149. The reversal of 523055104 is 401550325.

It is a tau number, because it is divible by the number of its divisors (208).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11128809 + ... + 11128855.

Almost surely, 2^523055104 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 523055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660522240).

523055104 is an abundant number, since it is smaller than the sum of its proper divisors (797989376).

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

523055104 is a wasteful number, since it uses less digits than its factorization.

523055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 523055104 is about 22870.3979851685. The cubic root of 523055104 is about 805.7169154479.

The spelling of 523055104 in words is "five hundred twenty-three million, fifty-five thousand, one hundred four".