251712825312 has 48 divisors (see below), whose sum is σ = 711572798160. Its totient is φ = 77450099712.

The previous prime is 251712825289. The next prime is 251712825317. The reversal of 251712825312 is 213528217152.

251712825312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251712825317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100845237 + ... + 100847732.

It is an arithmetic number, because the mean of its divisors is an integer number (14824433295).

Almost surely, 2^251712825312 is an apocalyptic number.

It is an amenable number.

251712825312 is an abundant number, since it is smaller than the sum of its proper divisors (459859972848).

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

251712825312 is a wasteful number, since it uses less digits than its factorization.

251712825312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201692995 (or 201692987 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The spelling of 251712825312 in words is "two hundred fifty-one billion, seven hundred twelve million, eight hundred twenty-five thousand, three hundred twelve".