251671605312 has 112 divisors (see below), whose sum is σ = 670207285440. Its totient is φ = 83347310592.

The previous prime is 251671605271. The next prime is 251671605313. The reversal of 251671605312 is 213506176152.

It is not an unprimeable number, because it can be changed into a prime (251671605313) 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, 18678514 + ... + 18691982.

It is an arithmetic number, because the mean of its divisors is an integer number (5983993620).

Almost surely, 2^251671605312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251671605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335103642720).

251671605312 is an abundant number, since it is smaller than the sum of its proper divisors (418535680128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

251671605312 is a wasteful number, since it uses less digits than its factorization.

251671605312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14108 (or 14098 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 251671605312 in words is "two hundred fifty-one billion, six hundred seventy-one million, six hundred five thousand, three hundred twelve".