252395712100 has 81 divisors (see below), whose sum is σ = 637207675083. Its totient is φ = 86523615360.

The previous prime is 252395712097. The next prime is 252395712109. The reversal of 252395712100 is 1217593252.

It is a happy number.

The square root of 252395712100 is 502390.

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

It can be written as a sum of positive squares in 4 ways, for example, as 35262079524 + 217133632576 = 187782^2 + 465976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 252395712100.

It is not an unprimeable number, because it can be changed into a prime (252395712109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35163712 + ... + 35170888.

Almost surely, 2^252395712100 is an apocalyptic number.

252395712100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

252395712100 is the 502390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252395712100

252395712100 is an abundant number, since it is smaller than the sum of its proper divisors (384811962983).

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

252395712100 is an frugal number, since it uses more digits than its factorization.

252395712100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14382 (or 7191 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 252395712100 in words is "two hundred fifty-two billion, three hundred ninety-five million, seven hundred twelve thousand, one hundred".