250405164025 has 27 divisors (see below), whose sum is σ = 318390780199. Its totient is φ = 195358112000.

The previous prime is 250405164013. The next prime is 250405164067. The reversal of 250405164025 is 520461504052.

The square root of 250405164025 is 500405.

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 214245859689 + 36159304336 = 462867^2 + 190156^2 .

It is not a de Polignac number, because 250405164025 - 2⁹ = 250405163513 is a prime.

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 26 ways as a sum of consecutive naturals, for example, 102581805 + ... + 102584245.

Almost surely, 2^250405164025 is an apocalyptic number.

250405164025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

250405164025 is the 500405-th square number.

250405164025 is the 250203-rd centered octagonal number.

It is an amenable number.

250405164025 is a deficient number, since it is larger than the sum of its proper divisors (67985616174).

250405164025 is an frugal number, since it uses more digits than its factorization.

250405164025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 250405164025 its reverse (520461504052), we get a palindrome (770866668077).

The spelling of 250405164025 in words is "two hundred fifty billion, four hundred five million, one hundred sixty-four thousand, twenty-five".