523007008128 has 576 divisors, whose sum is σ = 1773244418400. Its totient is φ = 147465584640.

The previous prime is 523007008127. The next prime is 523007008157. The reversal of 523007008128 is 821800700325.

523007008128 is a `hidden beast` number, since 523 + 0 + 0 + 7 + 0 + 0 + 8 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 523007008092 and 523007008101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523007008127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118620388 + ... + 118624796.

Almost surely, 2^523007008128 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 523007008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886622209200).

523007008128 is an abundant number, since it is smaller than the sum of its proper divisors (1250237410272).

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

523007008128 is a wasteful number, since it uses less digits than its factorization.

523007008128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4485 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 523007008128 in words is "five hundred twenty-three billion, seven million, eight thousand, one hundred twenty-eight".