253632236352 has 112 divisors (see below), whose sum is σ = 733483180224. Its totient is φ = 76710400000.

The previous prime is 253632236339. The next prime is 253632236353.

253632236352 is nontrivially palindromic in base 10.

253632236352 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253632236352² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253632236353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985102 + ... + 1215602.

Almost surely, 2^253632236352 is an apocalyptic number.

253632236352 is a gapful number since it is divisible by the number (22) 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 253632236352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366741590112).

253632236352 is an abundant number, since it is smaller than the sum of its proper divisors (479850943872).

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

253632236352 is a wasteful number, since it uses less digits than its factorization.

253632236352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231048 (or 231038 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 42.

It can be divided in two parts, 253632 and 236352, that added together give a palindrome (489984).

The spelling of 253632236352 in words is "two hundred fifty-three billion, six hundred thirty-two million, two hundred thirty-six thousand, three hundred fifty-two".