252492100 has 81 divisors (see below), whose sum is σ = 640182333. Its totient is φ = 86187360.

The previous prime is 252492089. The next prime is 252492101. The reversal of 252492100 is 1294252.

The square root of 252492100 is 15890.

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

It can be written as a sum of positive squares in only one way, i.e., 90897156 + 161594944 = 9534^2 + 12712^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (252492101) 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 26 ways as a sum of consecutive naturals, for example, 1112187 + ... + 1112413.

Almost surely, 2^252492100 is an apocalyptic number.

252492100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

252492100 is the 15890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252492100

252492100 is an abundant number, since it is smaller than the sum of its proper divisors (387690233).

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

252492100 is a wasteful number, since it uses less digits than its factorization.

252492100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The cubic root of 252492100 is about 632.0468406505.

Multiplying 252492100 by its sum of digits (25), we get a square (6312302500 = 79450²).

252492100 divided by its sum of digits (25) gives a square (10099684 = 3178²).

The spelling of 252492100 in words is "two hundred fifty-two million, four hundred ninety-two thousand, one hundred".