251481187441 has 9 divisors (see below), whose sum is σ = 276427533963. Its totient is φ = 228614246520.

The previous prime is 251481187427. The next prime is 251481187483. The reversal of 251481187441 is 144781184152.

The square root of 251481187441 is 501479.

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

251481187441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 55356207841 + 196124979600 = 235279^2 + 442860^2 .

It is not a de Polignac number, because 251481187441 - 2¹⁹ = 251480663153 is a prime.

It is a super-2 number, since 2×251481187441² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 251481187391 and 251481187400.

It is not an unprimeable number, because it can be changed into a prime (251481184441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5493475 + ... + 5539063.

Almost surely, 2^251481187441 is an apocalyptic number.

251481187441 is the 501479-th square number.

251481187441 is the 250740-th centered octagonal number.

It is an amenable number.

251481187441 is a deficient number, since it is larger than the sum of its proper divisors (24946346522).

251481187441 is an frugal number, since it uses more digits than its factorization.

251481187441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91200 (or 45600 counting only the distinct ones).

The product of its digits is 286720, while the sum is 46.

The spelling of 251481187441 in words is "two hundred fifty-one billion, four hundred eighty-one million, one hundred eighty-seven thousand, four hundred forty-one".