252600301600 has 144 divisors (see below), whose sum is σ = 619646340096. Its totient is φ = 100552320000.

The previous prime is 252600301589. The next prime is 252600301601. The reversal of 252600301600 is 6103006252.

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

It is not an unprimeable number, because it can be changed into a prime (252600301601) 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, 219461025 + ... + 219462175.

It is an arithmetic number, because the mean of its divisors is an integer number (4303099584).

Almost surely, 2^252600301600 is an apocalyptic number.

252600301600 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 252600301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309823170048).

252600301600 is an abundant number, since it is smaller than the sum of its proper divisors (367046038496).

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

252600301600 is a wasteful number, since it uses less digits than its factorization.

252600301600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 252600301600 its reverse (6103006252), we get a palindrome (258703307852).

The spelling of 252600301600 in words is "two hundred fifty-two billion, six hundred million, three hundred one thousand, six hundred".