251121141001 has 8 divisors (see below), whose sum is σ = 252232973000. Its totient is φ = 250009441920.

The previous prime is 251121140999. The next prime is 251121141023. The reversal of 251121141001 is 100141121152.

It can be written as a sum of positive squares in 4 ways, for example, as 16066830025 + 235054310976 = 126755^2 + 484824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 251121141001 - 2¹ = 251121140999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 251121141001.

It is not an unprimeable number, because it can be changed into a prime (251121142001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7551631 + ... + 7584811.

It is an arithmetic number, because the mean of its divisors is an integer number (31529121625).

Almost surely, 2^251121141001 is an apocalyptic number.

It is an amenable number.

251121141001 is a deficient number, since it is larger than the sum of its proper divisors (1111831999).

251121141001 is a wasteful number, since it uses less digits than its factorization.

251121141001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66459.

The product of its (nonzero) digits is 80, while the sum is 19.

Adding to 251121141001 its reverse (100141121152), we get a palindrome (351262262153).

The spelling of 251121141001 in words is "two hundred fifty-one billion, one hundred twenty-one million, one hundred forty-one thousand, one".