252105051220 has 144 divisors (see below), whose sum is σ = 601850833920. Its totient is φ = 88585136640.

The previous prime is 252105051203. The next prime is 252105051223. The reversal of 252105051220 is 22150501252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252105051223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8971432 + ... + 8999488.

It is an arithmetic number, because the mean of its divisors is an integer number (4179519680).

Almost surely, 2^252105051220 is an apocalyptic number.

252105051220 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 252105051220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300925416960).

252105051220 is an abundant number, since it is smaller than the sum of its proper divisors (349745782700).

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

252105051220 is a wasteful number, since it uses less digits than its factorization.

252105051220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28214 (or 28201 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 252105051220 its reverse (22150501252), we get a palindrome (274255552472).

The spelling of 252105051220 in words is "two hundred fifty-two billion, one hundred five million, fifty-one thousand, two hundred twenty".