251302441401 has 72 divisors (see below), whose sum is σ = 425157517512. Its totient is φ = 142430745600.

The previous prime is 251302441391. The next prime is 251302441417. The reversal of 251302441401 is 104144203152.

251302441401 is a `hidden beast` number, since 2 + 5 + 13 + 0 + 244 + 1 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131697135801 + 119605305600 = 362901^2 + 345840^2 .

It is not a de Polignac number, because 251302441401 - 2⁶ = 251302441337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (251302441471) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2863311 + ... + 2949771.

It is an arithmetic number, because the mean of its divisors is an integer number (5904965521).

Almost surely, 2^251302441401 is an apocalyptic number.

It is an amenable number.

251302441401 is a deficient number, since it is larger than the sum of its proper divisors (173855076111).

251302441401 is a wasteful number, since it uses less digits than its factorization.

251302441401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86663 (or 86649 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 251302441401 its reverse (104144203152), we get a palindrome (355446644553).

The spelling of 251302441401 in words is "two hundred fifty-one billion, three hundred two million, four hundred forty-one thousand, four hundred one".