250050002500 has 135 divisors (see below), whose sum is σ = 558478766307. Its totient is φ = 97929792000.

The previous prime is 250050002443. The next prime is 250050002513. The reversal of 250050002500 is 5200050052.

The square root of 250050002500 is 500050.

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

It can be written as a sum of positive squares in 22 ways, for example, as 245970370116 + 4079632384 = 495954^2 + 63872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1825182432 + ... + 1825182568.

Almost surely, 2^250050002500 is an apocalyptic number.

250050002500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

250050002500 is the 500050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250050002500

250050002500 is an abundant number, since it is smaller than the sum of its proper divisors (308428763807).

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

250050002500 is an frugal number, since it uses more digits than its factorization.

250050002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

Adding to 250050002500 its reverse (5200050052), we get a palindrome (255250052552).

It can be divided in two parts, 2500 and 50002500, that added together give a triangular number (50005000 = T₁₀₀₀₀).

The spelling of 250050002500 in words is "two hundred fifty billion, fifty million, two thousand, five hundred".