233313212500 has 72 divisors (see below), whose sum is σ = 524134000152. Its totient is φ = 90802800000.

The previous prime is 233313212411. The next prime is 233313212501. The reversal of 233313212500 is 5212313332.

It can be written as a sum of positive squares in 12 ways, for example, as 152009533456 + 81303679044 = 389884^2 + 285138^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233313212501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210270 + ... + 714730.

It is an arithmetic number, because the mean of its divisors is an integer number (7279638891).

Almost surely, 2^233313212500 is an apocalyptic number.

233313212500 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 233313212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262067000076).

233313212500 is an abundant number, since it is smaller than the sum of its proper divisors (290820787652).

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

233313212500 is an equidigital number, since it uses as much as digits as its factorization.

233313212500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504527 (or 504505 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 233313212500 its reverse (5212313332), we get a palindrome (238525525832).

The spelling of 233313212500 in words is "two hundred thirty-three billion, three hundred thirteen million, two hundred twelve thousand, five hundred".