251005025 has 12 divisors (see below), whose sum is σ = 315512172. Its totient is φ = 198051840.

The previous prime is 251004997. The next prime is 251005037. The reversal of 251005025 is 520500152.

It can be written as a sum of positive squares in 6 ways, for example, as 2122849 + 248882176 = 1457^2 + 15776^2 .

It is not a de Polignac number, because 251005025 - 2¹⁴ = 250988641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 251004988 and 251005006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66944 + ... + 70593.

It is an arithmetic number, because the mean of its divisors is an integer number (26292681).

Almost surely, 2^251005025 is an apocalyptic number.

251005025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251005025 is a deficient number, since it is larger than the sum of its proper divisors (64507147).

251005025 is a wasteful number, since it uses less digits than its factorization.

251005025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137620 (or 137615 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 251005025 is about 15843.1381045549. The cubic root of 251005025 is about 630.8035643558.

Adding to 251005025 its reverse (520500152), we get a palindrome (771505177).

The spelling of 251005025 in words is "two hundred fifty-one million, five thousand, twenty-five".