251211552241 has 6 divisors (see below), whose sum is σ = 272021976870. Its totient is φ = 231887586528.

The previous prime is 251211552211. The next prime is 251211552259. The reversal of 251211552241 is 142255112152.

It can be written as a sum of positive squares in 3 ways, for example, as 2629535841 + 248582016400 = 51279^2 + 498580^2 .

It is not a de Polignac number, because 251211552241 - 2¹³ = 251211544049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251211552211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 743229276 + ... + 743229613.

It is an arithmetic number, because the mean of its divisors is an integer number (45336996145).

Almost surely, 2^251211552241 is an apocalyptic number.

It is an amenable number.

251211552241 is a deficient number, since it is larger than the sum of its proper divisors (20810424629).

251211552241 is a wasteful number, since it uses less digits than its factorization.

251211552241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486458915 (or 1486458902 counting only the distinct ones).

The product of its digits is 8000, while the sum is 31.

Adding to 251211552241 its reverse (142255112152), we get a palindrome (393466664393).

The spelling of 251211552241 in words is "two hundred fifty-one billion, two hundred eleven million, five hundred fifty-two thousand, two hundred forty-one".