45007257 has 16 divisors (see below), whose sum is σ = 65208320. Its totient is φ = 27507600.

The previous prime is 45007253. The next prime is 45007273. The reversal of 45007257 is 75270054.

45007257 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 45007257 - 2² = 45007253 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45007253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10969 + ... + 14502.

It is an arithmetic number, because the mean of its divisors is an integer number (4075520).

Almost surely, 2^45007257 is an apocalyptic number.

It is an amenable number.

45007257 is a deficient number, since it is larger than the sum of its proper divisors (20201063).

45007257 is a wasteful number, since it uses less digits than its factorization.

45007257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25524.

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 45007257 is about 6708.7448155374. The cubic root of 45007257 is about 355.7084496988.

The spelling of 45007257 in words is "forty-five million, seven thousand, two hundred fifty-seven".