251266600225 has 27 divisors (see below), whose sum is σ = 322778243307. Its totient is φ = 194025646080.

The previous prime is 251266600223. The next prime is 251266600229. The reversal of 251266600225 is 522006662152.

The square root of 251266600225 is 501265.

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 251264595169 + 2005056 = 501263^2 + 1416^2 .

It is not a de Polignac number, because 251266600225 - 2¹ = 251266600223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251266600223) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 72681697 + ... + 72685153.

Almost surely, 2^251266600225 is an apocalyptic number.

251266600225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

251266600225 is the 501265-th square number.

251266600225 is the 250633-rd centered octagonal number.

It is an amenable number.

251266600225 is a deficient number, since it is larger than the sum of its proper divisors (71511643082).

251266600225 is an frugal number, since it uses more digits than its factorization.

251266600225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6982 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 251266600225 in words is "two hundred fifty-one billion, two hundred sixty-six million, six hundred thousand, two hundred twenty-five".