2305251 has 48 divisors (see below), whose sum is σ = 4062240. Its totient is φ = 1244160.

The previous prime is 2305169. The next prime is 2305271. The reversal of 2305251 is 1525032.

It is a happy number.

2305251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2305251 - 2¹³ = 2297059 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305271) 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 47 ways as a sum of consecutive naturals, for example, 37761 + ... + 37821.

It is an arithmetic number, because the mean of its divisors is an integer number (84630).

2^2305251 is an apocalyptic number.

2305251 is a deficient number, since it is larger than the sum of its proper divisors (1756989).

2305251 is a wasteful number, since it uses less digits than its factorization.

2305251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2305251 is about 1518.3053052664. The cubic root of 2305251 is about 132.1009902081.

It can be divided in two parts, 2305 and 251, that added together give a triangular number (2556 = T₇₁).

The spelling of 2305251 in words is "two million, three hundred five thousand, two hundred fifty-one".