252741100 has 72 divisors (see below), whose sum is σ = 572307120. Its totient is φ = 96794880.

The previous prime is 252741079. The next prime is 252741103. The reversal of 252741100 is 1147252.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252741103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227346 + ... + 228454.

It is an arithmetic number, because the mean of its divisors is an integer number (7948710).

Almost surely, 2^252741100 is an apocalyptic number.

252741100 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 252741100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286153560).

252741100 is an abundant number, since it is smaller than the sum of its proper divisors (319566020).

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

252741100 is a wasteful number, since it uses less digits than its factorization.

252741100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 252741100 is about 15897.8331856892. The cubic root of 252741100 is about 632.2545408219.

Adding to 252741100 its reverse (1147252), we get a palindrome (253888352).

The spelling of 252741100 in words is "two hundred fifty-two million, seven hundred forty-one thousand, one hundred".