252100023032 has 256 divisors, whose sum is σ = 582339542400. Its totient is φ = 100776960000.

The previous prime is 252100023031. The next prime is 252100023059. The reversal of 252100023032 is 230320001252.

252100023032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252100023032² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252100022995 and 252100023013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252100023031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465988682 + ... + 465989222.

Almost surely, 2^252100023032 is an apocalyptic number.

252100023032 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 252100023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291169771200).

252100023032 is an abundant number, since it is smaller than the sum of its proper divisors (330239519368).

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

252100023032 is a wasteful number, since it uses less digits than its factorization.

252100023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 252100023032 its reverse (230320001252), we get a palindrome (482420024284).

The spelling of 252100023032 in words is "two hundred fifty-two billion, one hundred million, twenty-three thousand, thirty-two".