210523313000 has 1024 divisors, whose sum is σ = 696319303680. Its totient is φ = 57480192000.

The previous prime is 210523312997. The next prime is 210523313071. The reversal of 210523313000 is 313325012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2883880964 + ... + 2883881036.

It is an arithmetic number, because the mean of its divisors is an integer number (679999320).

Almost surely, 2^210523313000 is an apocalyptic number.

210523313000 is a gapful number since it is divisible by the number (20) 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 210523313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348159651840).

210523313000 is an abundant number, since it is smaller than the sum of its proper divisors (485795990680).

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

210523313000 is a wasteful number, since it uses less digits than its factorization.

210523313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 210523313000 its reverse (313325012), we get a palindrome (210836638012).

The spelling of 210523313000 in words is "two hundred ten billion, five hundred twenty-three million, three hundred thirteen thousand".