252534100 has 72 divisors (see below), whose sum is σ = 674484608. Its totient is φ = 79920000.

The previous prime is 252534053. The next prime is 252534109. The reversal of 252534100 is 1435252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252534109) 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, 4776 + ... + 22975.

Almost surely, 2^252534100 is an apocalyptic number.

252534100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252534100 is an abundant number, since it is smaller than the sum of its proper divisors (421950508).

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

252534100 is a wasteful number, since it uses less digits than its factorization.

252534100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27785 (or 27778 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 252534100 is about 15891.3215309489. The cubic root of 252534100 is about 632.0818839853.

Adding to 252534100 its reverse (1435252), we get a palindrome (253969352).

The spelling of 252534100 in words is "two hundred fifty-two million, five hundred thirty-four thousand, one hundred".