252114452100 has 405 divisors, whose sum is σ = 951879240543. Its totient is φ = 57553856640.

The previous prime is 252114452087. The next prime is 252114452173. The reversal of 252114452100 is 1254411252.

It is a happy number.

The square root of 252114452100 is 502110.

It is a perfect power (a square), and thus also a powerful number.

252114452100 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 1 + 445 + 210 + 0 = 666.

252114452100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6161936004 + 245952516096 = 78498^2 + 495936^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 316328902 + ... + 316329698.

Almost surely, 2^252114452100 is an apocalyptic number.

252114452100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

252114452100 is the 502110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252114452100

252114452100 is an abundant number, since it is smaller than the sum of its proper divisors (699764788443).

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

252114452100 is an equidigital number, since it uses as much as digits as its factorization.

252114452100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 252114452100 its reverse (1254411252), we get a palindrome (253368863352).

The spelling of 252114452100 in words is "two hundred fifty-two billion, one hundred fourteen million, four hundred fifty-two thousand, one hundred".