523632406752 has 1296 divisors, whose sum is σ = 1986757521840. Its totient is φ = 130186248192.

The previous prime is 523632406751. The next prime is 523632406753. The reversal of 523632406752 is 257604236325.

523632406752 is a `hidden beast` number, since 5 + 2 + 3 + 632 + 4 + 0 + 6 + 7 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (523632406751) and next prime (523632406753).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 523632406698 and 523632406707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523632406751) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4633915048 + ... + 4633915160.

It is an arithmetic number, because the mean of its divisors is an integer number (1532991915).

Almost surely, 2^523632406752 is an apocalyptic number.

523632406752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523632406752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993378760920).

523632406752 is an abundant number, since it is smaller than the sum of its proper divisors (1463125115088).

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

523632406752 is a wasteful number, since it uses less digits than its factorization.

523632406752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 523632406752 in words is "five hundred twenty-three billion, six hundred thirty-two million, four hundred six thousand, seven hundred fifty-two".