5257723 has 2 divisors, whose sum is σ = 5257724. Its totient is φ = 5257722.

The previous prime is 5257711. The next prime is 5257727. The reversal of 5257723 is 3277525.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 5257723 - 2¹⁷ = 5126651 is a prime.

It is a super-2 number, since 2×5257723² = 55287302289458, which contains 22 as substring.

It is a d-powerful number, because it can be written as 5² + 2² + 5⁷ + 7⁵ + 7⁶ + 2¹⁸ + 3¹⁴ .

It is not a weakly prime, because it can be changed into another prime (5257727) 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 as a sum of consecutive naturals, namely, 2628861 + 2628862.

It is an arithmetic number, because the mean of its divisors is an integer number (2628862).

Almost surely, 2^5257723 is an apocalyptic number.

5257723 is a deficient number, since it is larger than the sum of its proper divisors (1).

5257723 is an equidigital number, since it uses as much as digits as its factorization.

5257723 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14700, while the sum is 31.

The square root of 5257723 is about 2292.9725249117. The cubic root of 5257723 is about 173.8865138346.

It can be divided in two parts, 52 and 57723, that added together give a palindrome (57775).

The spelling of 5257723 in words is "five million, two hundred fifty-seven thousand, seven hundred twenty-three".