252635100 has 72 divisors (see below), whose sum is σ = 744796080. Its totient is φ = 66094080.

The previous prime is 252635087. The next prime is 252635101. The reversal of 252635100 is 1536252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252635101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7956 + ... + 23844.

It is an arithmetic number, because the mean of its divisors is an integer number (10344390).

Almost surely, 2^252635100 is an apocalyptic number.

252635100 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 252635100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372398040).

252635100 is an abundant number, since it is smaller than the sum of its proper divisors (492160980).

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

252635100 is a wasteful number, since it uses less digits than its factorization.

252635100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15959 (or 15952 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 252635100 is about 15894.4990484129. The cubic root of 252635100 is about 632.1661389582.

The spelling of 252635100 in words is "two hundred fifty-two million, six hundred thirty-five thousand, one hundred".