251320 has 32 divisors (see below), whose sum is σ = 580320. Its totient is φ = 97920.

The previous prime is 251297. The next prime is 251323. The reversal of 251320 is 23152.

251320 is nontrivially palindromic in base 3.

251320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 251320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2389 + ... + 2491.

It is an arithmetic number, because the mean of its divisors is an integer number (18135).

2²⁵¹³²⁰ is an apocalyptic number.

251320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290160).

251320 is an abundant number, since it is smaller than the sum of its proper divisors (329000).

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

251320 is a wasteful number, since it uses less digits than its factorization.

251320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 251320 is about 501.3182621848. The cubic root of 251320 is about 63.1067309810.

Adding to 251320 its reverse (23152), we get a palindrome (274472).

The spelling of 251320 in words is "two hundred fifty-one thousand, three hundred twenty".