45005251 has 8 divisors (see below), whose sum is σ = 45854208. Its totient is φ = 44160000.

The previous prime is 45005203. The next prime is 45005263. The reversal of 45005251 is 15250054.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 10-Lehmer number, since φ(45005251) divides (45005251-1)¹⁰.

It is a cyclic number.

It is not a de Polignac number, because 45005251 - 2⁷ = 45005123 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45005201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38526 + ... + 39676.

It is an arithmetic number, because the mean of its divisors is an integer number (5731776).

Almost surely, 2^45005251 is an apocalyptic number.

45005251 is a deficient number, since it is larger than the sum of its proper divisors (848957).

45005251 is a wasteful number, since it uses less digits than its factorization.

45005251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853.

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 45005251 is about 6708.5953075141. The cubic root of 45005251 is about 355.7031649085.

The spelling of 45005251 in words is "forty-five million, five thousand, two hundred fifty-one".