251129122116867 has 80 divisors (see below), whose sum is σ = 380850486841440. Its totient is φ = 164888545536000.

The previous prime is 251129122116823. The next prime is 251129122116877. The reversal of 251129122116867 is 768611221921152.

251129122116867 is a `hidden beast` number, since 2 + 5 + 11 + 291 + 221 + 1 + 68 + 67 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-251129122116867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (251129122116877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1919280367 + ... + 1919411207.

It is an arithmetic number, because the mean of its divisors is an integer number (4760631085518).

Almost surely, 2^{251129122116867} is an apocalyptic number.

251129122116867 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

251129122116867 is a deficient number, since it is larger than the sum of its proper divisors (129721364724573).

251129122116867 is a wasteful number, since it uses less digits than its factorization.

251129122116867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131986 (or 131977 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 251129122116867 in words is "two hundred fifty-one trillion, one hundred twenty-nine billion, one hundred twenty-two million, one hundred sixteen thousand, eight hundred sixty-seven".