5258757 has 16 divisors (see below), whose sum is σ = 8128512. Its totient is φ = 2961840.

The previous prime is 5258741. The next prime is 5258761. The reversal of 5258757 is 7578525.

5258757 is nontrivially palindromic in base 2.

5258757 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5258757 - 2⁴ = 5258741 is a prime.

5258757 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258707) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273 + ... + 3254.

It is an arithmetic number, because the mean of its divisors is an integer number (508032).

Almost surely, 2^5258757 is an apocalyptic number.

It is an amenable number.

5258757 is a deficient number, since it is larger than the sum of its proper divisors (2869755).

5258757 is a wasteful number, since it uses less digits than its factorization.

5258757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608.

The product of its digits is 98000, while the sum is 39.

The square root of 5258757 is about 2293.1979853471. The cubic root of 5258757 is about 173.8979121065.

The spelling of 5258757 in words is "five million, two hundred fifty-eight thousand, seven hundred fifty-seven".