523225475011008 has 2240 divisors, whose sum is σ = 2044299793536000. Its totient is φ = 131080384512000.

The previous prime is 523225475011007. The next prime is 523225475011027. The reversal of 523225475011008 is 800110574522325.

523225475011008 is a `hidden beast` number, since 5 + 2 + 32 + 2 + 5 + 4 + 7 + 501 + 100 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523225475011007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 71371633903 + ... + 71371641233.

It is an arithmetic number, because the mean of its divisors is an integer number (912633836400).

Almost surely, 2^{523225475011008} 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 523225475011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022149896768000).

523225475011008 is an abundant number, since it is smaller than the sum of its proper divisors (1521074318524992).

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

523225475011008 is a wasteful number, since it uses less digits than its factorization.

523225475011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7517 (or 7484 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 523225475011008 in words is "five hundred twenty-three trillion, two hundred twenty-five billion, four hundred seventy-five million, eleven thousand, eight".