251151200352 has 144 divisors (see below), whose sum is σ = 774685613520. Its totient is φ = 76721181696.

The previous prime is 251151200347. The next prime is 251151200359. The reversal of 251151200352 is 253002151152.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251151200359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279118 + ... + 761714.

It is an arithmetic number, because the mean of its divisors is an integer number (5379761205).

Almost surely, 2^251151200352 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 251151200352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387342806760).

251151200352 is an abundant number, since it is smaller than the sum of its proper divisors (523534413168).

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

251151200352 is a wasteful number, since it uses less digits than its factorization.

251151200352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482765 (or 482754 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 251151200352 in words is "two hundred fifty-one billion, one hundred fifty-one million, two hundred thousand, three hundred fifty-two".