252220313202 has 256 divisors, whose sum is σ = 633327206400. Its totient is φ = 65868042240.

The previous prime is 252220313171. The next prime is 252220313209. The reversal of 252220313202 is 202313022252.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (252220313209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 249970074 + ... + 249971082.

It is an arithmetic number, because the mean of its divisors is an integer number (2473934400).

Almost surely, 2^252220313202 is an apocalyptic number.

252220313202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 252220313202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316663603200).

252220313202 is an abundant number, since it is smaller than the sum of its proper divisors (381106893198).

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

252220313202 is a wasteful number, since it uses less digits than its factorization.

252220313202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353.

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 252220313202 its reverse (202313022252), we get a palindrome (454533335454).

The spelling of 252220313202 in words is "two hundred fifty-two billion, two hundred twenty million, three hundred thirteen thousand, two hundred two".