5005757 has 2 divisors, whose sum is σ = 5005758. Its totient is φ = 5005756.

The previous prime is 5005709. The next prime is 5005783. The reversal of 5005757 is 7575005.

5005757 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4923961 + 81796 = 2219^2 + 286^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5005757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5005057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502878 + 2502879.

It is an arithmetic number, because the mean of its divisors is an integer number (2502879).

Almost surely, 2^5005757 is an apocalyptic number.

It is an amenable number.

5005757 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005757 is an equidigital number, since it uses as much as digits as its factorization.

5005757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6125, while the sum is 29.

The square root of 5005757 is about 2237.3549114971. The cubic root of 5005757 is about 171.0631983722.

The spelling of 5005757 in words is "five million, five thousand, seven hundred fifty-seven".