45251 has 4 divisors (see below), whose sum is σ = 46512. Its totient is φ = 43992.

The previous prime is 45247. The next prime is 45259. The reversal of 45251 is 15254.

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

It is a cyclic number.

It is not a de Polignac number, because 45251 - 2² = 45247 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 12 and base 13.

It is not an unprimeable number, because it can be changed into a prime (45259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 575 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (11628).

2⁴⁵²⁵¹ is an apocalyptic number.

45251 is a deficient number, since it is larger than the sum of its proper divisors (1261).

45251 is a wasteful number, since it uses less digits than its factorization.

45251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260.

The product of its digits is 200, while the sum is 17.

The square root of 45251 is about 212.7228243513. The cubic root of 45251 is about 35.6349423363.

Adding to 45251 its product of digits (200), we get a triangular number (45451 = T₃₀₁).

The spelling of 45251 in words is "forty-five thousand, two hundred fifty-one".