251016030225 has 81 divisors (see below), whose sum is σ = 454895229243. Its totient is φ = 132316057440.

The previous prime is 251016030217. The next prime is 251016030271. The reversal of 251016030225 is 522030610152.

It is a happy number.

The square root of 251016030225 is 501015.

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

251016030225 is a `hidden beast` number, since 2 + 51 + 0 + 1 + 603 + 0 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90365770881 + 160650259344 = 300609^2 + 400812^2 .

It is not a de Polignac number, because 251016030225 - 2³ = 251016030217 is a prime.

It is a super-2 number, since 2×251016030225² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 954433444 + ... + 954433706.

Almost surely, 2^251016030225 is an apocalyptic number.

251016030225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

251016030225 is the 501015-th square number.

251016030225 is the 250508-th centered octagonal number.

It is an amenable number.

251016030225 is a deficient number, since it is larger than the sum of its proper divisors (203879199018).

251016030225 is an equidigital number, since it uses as much as digits as its factorization.

251016030225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Multiplying 251016030225 by its product of nonzero digits (3600), we get a square (903657708810000 = 30060900²).

Adding to 251016030225 its reverse (522030610152), we get a palindrome (773046640377).

The spelling of 251016030225 in words is "two hundred fifty-one billion, sixteen million, thirty thousand, two hundred twenty-five".