250045002025 has 135 divisors (see below), whose sum is σ = 394185040911. Its totient is φ = 157262152320.

The previous prime is 250045001951. The next prime is 250045002041. The reversal of 250045002025 is 520200540052.

It is a happy number.

The square root of 250045002025 is 500045.

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

It can be written as a sum of positive squares in 13 ways, for example, as 249653120409 + 391881616 = 499653^2 + 19796^2 .

It is not a de Polignac number, because 250045002025 - 2⁹ = 250045001513 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1592643247 + ... + 1592643403.

Almost surely, 2^250045002025 is an apocalyptic number.

250045002025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

250045002025 is the 500045-th square number.

250045002025 is the 250023-rd centered octagonal number.

It is an amenable number.

250045002025 is a deficient number, since it is larger than the sum of its proper divisors (144140038886).

250045002025 is an frugal number, since it uses more digits than its factorization.

250045002025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

Multiplying 250045002025 by its sum of digits (25), we get a square (6251125050625 = 2500225²).

250045002025 divided by its sum of digits (25) gives a square (10001800081 = 100009²).

Adding to 250045002025 its reverse (520200540052), we get a palindrome (770245542077).

The spelling of 250045002025 in words is "two hundred fifty billion, forty-five million, two thousand, twenty-five".