252526500 has 144 divisors (see below), whose sum is σ = 843753456. Its totient is φ = 63360000.

The previous prime is 252526471. The next prime is 252526523. The reversal of 252526500 is 5625252.

252526500 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 2 + 650 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 83942244 + 168584256 = 9162^2 + 12984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74850 + ... + 78150.

It is an arithmetic number, because the mean of its divisors is an integer number (5859399).

Almost surely, 2^252526500 is an apocalyptic number.

252526500 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 252526500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421876728).

252526500 is an abundant number, since it is smaller than the sum of its proper divisors (591226956).

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

252526500 is a wasteful number, since it uses less digits than its factorization.

252526500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 252526500 is about 15891.0824049213. The cubic root of 252526500 is about 632.0755430984.

The spelling of 252526500 in words is "two hundred fifty-two million, five hundred twenty-six thousand, five hundred".