252004340100 has 144 divisors (see below), whose sum is σ = 732673105920. Its totient is φ = 66875510400.

The previous prime is 252004340089. The next prime is 252004340101. The reversal of 252004340100 is 1043400252.

It is not an unprimeable number, because it can be changed into a prime (252004340101) 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, 87530461 + ... + 87533339.

It is an arithmetic number, because the mean of its divisors is an integer number (5088007680).

Almost surely, 2^252004340100 is an apocalyptic number.

252004340100 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 252004340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366336552960).

252004340100 is an abundant number, since it is smaller than the sum of its proper divisors (480668765820).

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

252004340100 is a wasteful number, since it uses less digits than its factorization.

252004340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 252004340100 its reverse (1043400252), we get a palindrome (253047740352).

The spelling of 252004340100 in words is "two hundred fifty-two billion, four million, three hundred forty thousand, one hundred".