1251116648321 has 16 divisors (see below), whose sum is σ = 1275976800000. Its totient is φ = 1226488862976.

The previous prime is 1251116648297. The next prime is 1251116648357. The reversal of 1251116648321 is 1238466111521.

It is a cyclic number.

It is not a de Polignac number, because 1251116648321 - 2²² = 1251112454017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1251116648381) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30690170 + ... + 30730908.

It is an arithmetic number, because the mean of its divisors is an integer number (79748550000).

Almost surely, 2^{1251116648321} is an apocalyptic number.

It is an amenable number.

1251116648321 is a deficient number, since it is larger than the sum of its proper divisors (24860151679).

1251116648321 is a wasteful number, since it uses less digits than its factorization.

1251116648321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43576.

The product of its digits is 69120, while the sum is 41.

The spelling of 1251116648321 in words is "one trillion, two hundred fifty-one billion, one hundred sixteen million, six hundred forty-eight thousand, three hundred twenty-one".