251953 has 4 divisors (see below), whose sum is σ = 271348. Its totient is φ = 232560.

The previous prime is 251947. The next prime is 251969. The reversal of 251953 is 359152.

251953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 113569 + 138384 = 337^2 + 372^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-251953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9678 + ... + 9703.

It is an arithmetic number, because the mean of its divisors is an integer number (67837).

2²⁵¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

251953 is a deficient number, since it is larger than the sum of its proper divisors (19395).

251953 is a wasteful number, since it uses less digits than its factorization.

251953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19394.

The product of its digits is 1350, while the sum is 25.

The square root of 251953 is about 501.9492006170. The cubic root of 251953 is about 63.1596688951.

The spelling of 251953 in words is "two hundred fifty-one thousand, nine hundred fifty-three".