251878752 has 72 divisors (see below), whose sum is σ = 720706896. Its totient is φ = 83440896.

The previous prime is 251878741. The next prime is 251878769. The reversal of 251878752 is 257878152.

251878752 is a `hidden beast` number, since 2 + 518 + 7 + 87 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 251878698 and 251878707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45478 + ... + 50714.

It is an arithmetic number, because the mean of its divisors is an integer number (10009818).

Almost surely, 2^251878752 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 251878752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360353448).

251878752 is an abundant number, since it is smaller than the sum of its proper divisors (468828144).

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

251878752 is a wasteful number, since it uses less digits than its factorization.

251878752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 5409 counting only the distinct ones).

The product of its digits is 313600, while the sum is 45.

The square root of 251878752 is about 15870.6884538762. The cubic root of 251878752 is about 631.5346411375.

Subtracting from 251878752 its product of digits (313600), we obtain a palindrome (251565152).

The spelling of 251878752 in words is "two hundred fifty-one million, eight hundred seventy-eight thousand, seven hundred fifty-two".