251052083072 has 128 divisors (see below), whose sum is σ = 588303751680. Its totient is φ = 104493312000.

The previous prime is 251052083053. The next prime is 251052083111. The reversal of 251052083072 is 270380250152.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4232822 + ... + 4291722.

It is an arithmetic number, because the mean of its divisors is an integer number (4596123060).

Almost surely, 2^251052083072 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 251052083072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294151875840).

251052083072 is an abundant number, since it is smaller than the sum of its proper divisors (337251668608).

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

251052083072 is an equidigital number, since it uses as much as digits as its factorization.

251052083072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59060 (or 59048 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 251052083072 in words is "two hundred fifty-one billion, fifty-two million, eighty-three thousand, seventy-two".