251000010132352 has 128 divisors (see below), whose sum is σ = 539518349160000. Its totient is φ = 115627949359104.

The previous prime is 251000010132343. The next prime is 251000010132353. The reversal of 251000010132352 is 253231010000152.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251000010132353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5136156174 + ... + 5136205042.

Almost surely, 2^{251000010132352} 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 251000010132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269759174580000).

251000010132352 is an abundant number, since it is smaller than the sum of its proper divisors (288518339027648).

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

251000010132352 is a wasteful number, since it uses less digits than its factorization.

251000010132352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54648 (or 54636 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 251000010132352 in words is "two hundred fifty-one trillion, ten million, one hundred thirty-two thousand, three hundred fifty-two".