523530312000 has 448 divisors, whose sum is σ = 1776335678208. Its totient is φ = 135782400000.

The previous prime is 523530311981. The next prime is 523530312001. The reversal of 523530312000 is 213035325.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523530312001) 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 63 ways as a sum of consecutive naturals, for example, 435911400 + ... + 435912600.

It is an arithmetic number, because the mean of its divisors is an integer number (3965034996).

Almost surely, 2^523530312000 is an apocalyptic number.

523530312000 is a gapful number since it is divisible by the number (50) 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 523530312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888167839104).

523530312000 is an abundant number, since it is smaller than the sum of its proper divisors (1252805366208).

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

523530312000 is a wasteful number, since it uses less digits than its factorization.

523530312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

Adding to 523530312000 its reverse (213035325), we get a palindrome (523743347325).

The spelling of 523530312000 in words is "five hundred twenty-three billion, five hundred thirty million, three hundred twelve thousand".